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Finding the Third Proportional to 7,909,117 and 11,948,511

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Solution

The third proportional to 7,909,117 and 11,948,511 is: 18,050,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909,117 : 11,948,511 = 11,948,511 : x
  2. Step 2: Convert to fraction form
    7,909,117/11,948,511 = 11,948,511/x
  3. Step 3: Cross multiply
    7,909,117x = 11,948,511 × 11,948,511
  4. Step 4: Simplify right side
    7,909,117x = 142,766,915,117,121
  5. Step 5: Solve for x
    x = 142,766,915,117,121/7,909,117
  6. Step 6: Final answer
    x = 18,050,929.72

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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.