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Finding the Third Proportional to 247,012,128 and 525,971,520

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Solution

The third proportional to 247,012,128 and 525,971,520 is: 1,119,969,460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,012,128 : 525,971,520 = 525,971,520 : x
  2. Step 2: Convert to fraction form
    247,012,128/525,971,520 = 525,971,520/x
  3. Step 3: Cross multiply
    247,012,128x = 525,971,520 × 525,971,520
  4. Step 4: Simplify right side
    247,012,128x = 276,646,039,851,110,400
  5. Step 5: Solve for x
    x = 276,646,039,851,110,400/247,012,128
  6. Step 6: Final answer
    x = 1,119,969,460.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.