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Finding the Third Proportional to 10,430,964 and 21,156,711

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Solution

The third proportional to 10,430,964 and 21,156,711 is: 42,911,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430,964 : 21,156,711 = 21,156,711 : x
  2. Step 2: Convert to fraction form
    10,430,964/21,156,711 = 21,156,711/x
  3. Step 3: Cross multiply
    10,430,964x = 21,156,711 × 21,156,711
  4. Step 4: Simplify right side
    10,430,964x = 447,606,420,337,521
  5. Step 5: Solve for x
    x = 447,606,420,337,521/10,430,964
  6. Step 6: Final answer
    x = 42,911,318.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.