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Finding the Third Proportional to 721,516,484 and 1,545,069,520

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Solution

The third proportional to 721,516,484 and 1,545,069,520 is: 3,308,642,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,516,484 : 1,545,069,520 = 1,545,069,520 : x
  2. Step 2: Convert to fraction form
    721,516,484/1,545,069,520 = 1,545,069,520/x
  3. Step 3: Cross multiply
    721,516,484x = 1,545,069,520 × 1,545,069,520
  4. Step 4: Simplify right side
    721,516,484x = 2,387,239,821,633,030,144
  5. Step 5: Solve for x
    x = 2,387,239,821,633,030,144/721,516,484
  6. Step 6: Final answer
    x = 3,308,642,109.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.