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Finding the Third Proportional to 10,403,731 and 22,341,432

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Solution

The third proportional to 10,403,731 and 22,341,432 is: 47,976,979.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403,731 : 22,341,432 = 22,341,432 : x
  2. Step 2: Convert to fraction form
    10,403,731/22,341,432 = 22,341,432/x
  3. Step 3: Cross multiply
    10,403,731x = 22,341,432 × 22,341,432
  4. Step 4: Simplify right side
    10,403,731x = 499,139,583,810,624
  5. Step 5: Solve for x
    x = 499,139,583,810,624/10,403,731
  6. Step 6: Final answer
    x = 47,976,979.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.