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Finding the Third Proportional to 147,707,712 and 321,423,714

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Solution

The third proportional to 147,707,712 and 321,423,714 is: 699,443,532.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,707,712 : 321,423,714 = 321,423,714 : x
  2. Step 2: Convert to fraction form
    147,707,712/321,423,714 = 321,423,714/x
  3. Step 3: Cross multiply
    147,707,712x = 321,423,714 × 321,423,714
  4. Step 4: Simplify right side
    147,707,712x = 103,313,203,921,553,792
  5. Step 5: Solve for x
    x = 103,313,203,921,553,792/147,707,712
  6. Step 6: Final answer
    x = 699,443,532.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.