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Finding the Third Proportional to 10,120,413 and 15,567,746

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Solution

The third proportional to 10,120,413 and 15,567,746 is: 23,947,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,413 : 15,567,746 = 15,567,746 : x
  2. Step 2: Convert to fraction form
    10,120,413/15,567,746 = 15,567,746/x
  3. Step 3: Cross multiply
    10,120,413x = 15,567,746 × 15,567,746
  4. Step 4: Simplify right side
    10,120,413x = 242,354,715,520,516
  5. Step 5: Solve for x
    x = 242,354,715,520,516/10,120,413
  6. Step 6: Final answer
    x = 23,947,117.13

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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.