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Finding the Third Proportional to 3,465,298.13 and 5,386,951.13

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Solution

The third proportional to 3,465,298.13 and 5,386,951.13 is: 8,374,241.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465,298.13 : 5,386,951.13 = 5,386,951.13 : x
  2. Step 2: Convert to fraction form
    3,465,298.13/5,386,951.13 = 5,386,951.13/x
  3. Step 3: Cross multiply
    3,465,298.13x = 5,386,951.13 × 5,386,951.13
  4. Step 4: Simplify right side
    3,465,298.13x = 29,019,242,423,138.77
  5. Step 5: Solve for x
    x = 29,019,242,423,138.77/3,465,298.13
  6. Step 6: Final answer
    x = 8,374,241.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.