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Finding the Third Proportional to 10,220,416 and 15,709,505

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Solution

The third proportional to 10,220,416 and 15,709,505 is: 24,146,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220,416 : 15,709,505 = 15,709,505 : x
  2. Step 2: Convert to fraction form
    10,220,416/15,709,505 = 15,709,505/x
  3. Step 3: Cross multiply
    10,220,416x = 15,709,505 × 15,709,505
  4. Step 4: Simplify right side
    10,220,416x = 246,788,547,345,025
  5. Step 5: Solve for x
    x = 246,788,547,345,025/10,220,416
  6. Step 6: Final answer
    x = 24,146,624.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.