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Finding the Third Proportional to 247,520,635.31 and 524,547,181.13

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Solution

The third proportional to 247,520,635.31 and 524,547,181.13 is: 1,111,623,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,520,635.31 : 524,547,181.13 = 524,547,181.13 : x
  2. Step 2: Convert to fraction form
    247,520,635.31/524,547,181.13 = 524,547,181.13/x
  3. Step 3: Cross multiply
    247,520,635.31x = 524,547,181.13 × 524,547,181.13
  4. Step 4: Simplify right side
    247,520,635.31x = 275,149,745,226,183,552
  5. Step 5: Solve for x
    x = 275,149,745,226,183,552/247,520,635.31
  6. Step 6: Final answer
    x = 1,111,623,460.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.