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Finding the Third Proportional to 1,692,807,264 and 2,614,641,360

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Solution

The third proportional to 1,692,807,264 and 2,614,641,360 is: 4,038,468,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692,807,264 : 2,614,641,360 = 2,614,641,360 : x
  2. Step 2: Convert to fraction form
    1,692,807,264/2,614,641,360 = 2,614,641,360/x
  3. Step 3: Cross multiply
    1,692,807,264x = 2,614,641,360 × 2,614,641,360
  4. Step 4: Simplify right side
    1,692,807,264x = 6,836,349,441,422,649,344
  5. Step 5: Solve for x
    x = 6,836,349,441,422,649,344/1,692,807,264
  6. Step 6: Final answer
    x = 4,038,468,871.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.