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Finding the Third Proportional to 614,851,414,971.45 and 1,352,670,962,380.20

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Solution

The third proportional to 614,851,414,971.45 and 1,352,670,962,380.20 is: 2,975,871,386,018.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,851,414,971.45 : 1,352,670,962,380.20 = 1,352,670,962,380.20 : x
  2. Step 2: Convert to fraction form
    614,851,414,971.45/1,352,670,962,380.20 = 1,352,670,962,380.20/x
  3. Step 3: Cross multiply
    614,851,414,971.45x = 1,352,670,962,380.20 × 1,352,670,962,380.20
  4. Step 4: Simplify right side
    614,851,414,971.45x = 1,829,718,732,466,576,269,770,752
  5. Step 5: Solve for x
    x = 1,829,718,732,466,576,269,770,752/614,851,414,971.45
  6. Step 6: Final answer
    x = 2,975,871,386,018.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.