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Finding the Third Proportional to 729,832,212 and 1,511,403,376

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Solution

The third proportional to 729,832,212 and 1,511,403,376 is: 3,129,952,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,832,212 : 1,511,403,376 = 1,511,403,376 : x
  2. Step 2: Convert to fraction form
    729,832,212/1,511,403,376 = 1,511,403,376/x
  3. Step 3: Cross multiply
    729,832,212x = 1,511,403,376 × 1,511,403,376
  4. Step 4: Simplify right side
    729,832,212x = 2,284,340,164,984,197,376
  5. Step 5: Solve for x
    x = 2,284,340,164,984,197,376/729,832,212
  6. Step 6: Final answer
    x = 3,129,952,511.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.