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Finding the Third Proportional to 6,948,748.13 and 10,772,494.88

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Solution

The third proportional to 6,948,748.13 and 10,772,494.88 is: 16,700,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948,748.13 : 10,772,494.88 = 10,772,494.88 : x
  2. Step 2: Convert to fraction form
    6,948,748.13/10,772,494.88 = 10,772,494.88/x
  3. Step 3: Cross multiply
    6,948,748.13x = 10,772,494.88 × 10,772,494.88
  4. Step 4: Simplify right side
    6,948,748.13x = 116,046,645,831,901.27
  5. Step 5: Solve for x
    x = 116,046,645,831,901.27/6,948,748.13
  6. Step 6: Final answer
    x = 16,700,367.28

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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.