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Finding the Third Proportional to 10,346,616 and 15,663,065

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Solution

The third proportional to 10,346,616 and 15,663,065 is: 23,711,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346,616 : 15,663,065 = 15,663,065 : x
  2. Step 2: Convert to fraction form
    10,346,616/15,663,065 = 15,663,065/x
  3. Step 3: Cross multiply
    10,346,616x = 15,663,065 × 15,663,065
  4. Step 4: Simplify right side
    10,346,616x = 245,331,605,194,225
  5. Step 5: Solve for x
    x = 245,331,605,194,225/10,346,616
  6. Step 6: Final answer
    x = 23,711,289.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.