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Finding the Third Proportional to 10,346,671 and 15,663,147

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Solution

The third proportional to 10,346,671 and 15,663,147 is: 23,711,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346,671 : 15,663,147 = 15,663,147 : x
  2. Step 2: Convert to fraction form
    10,346,671/15,663,147 = 15,663,147/x
  3. Step 3: Cross multiply
    10,346,671x = 15,663,147 × 15,663,147
  4. Step 4: Simplify right side
    10,346,671x = 245,334,173,943,609
  5. Step 5: Solve for x
    x = 245,334,173,943,609/10,346,671
  6. Step 6: Final answer
    x = 23,711,411.52

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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.