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Finding the Third Proportional to 707,563,970 and 1,531,026,628

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Solution

The third proportional to 707,563,970 and 1,531,026,628 is: 3,312,834,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,563,970 : 1,531,026,628 = 1,531,026,628 : x
  2. Step 2: Convert to fraction form
    707,563,970/1,531,026,628 = 1,531,026,628/x
  3. Step 3: Cross multiply
    707,563,970x = 1,531,026,628 × 1,531,026,628
  4. Step 4: Simplify right side
    707,563,970x = 2,344,042,535,645,050,368
  5. Step 5: Solve for x
    x = 2,344,042,535,645,050,368/707,563,970
  6. Step 6: Final answer
    x = 3,312,834,789.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.