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Finding the Third Proportional to 9,841,776 and 13,248,909

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Solution

The third proportional to 9,841,776 and 13,248,909 is: 17,835,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841,776 : 13,248,909 = 13,248,909 : x
  2. Step 2: Convert to fraction form
    9,841,776/13,248,909 = 13,248,909/x
  3. Step 3: Cross multiply
    9,841,776x = 13,248,909 × 13,248,909
  4. Step 4: Simplify right side
    9,841,776x = 175,533,589,690,281
  5. Step 5: Solve for x
    x = 175,533,589,690,281/9,841,776
  6. Step 6: Final answer
    x = 17,835,560.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.