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Finding the Third Proportional to 6,495,691 and 9,081,412

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Solution

The third proportional to 6,495,691 and 9,081,412 is: 12,696,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495,691 : 9,081,412 = 9,081,412 : x
  2. Step 2: Convert to fraction form
    6,495,691/9,081,412 = 9,081,412/x
  3. Step 3: Cross multiply
    6,495,691x = 9,081,412 × 9,081,412
  4. Step 4: Simplify right side
    6,495,691x = 82,472,043,913,744
  5. Step 5: Solve for x
    x = 82,472,043,913,744/6,495,691
  6. Step 6: Final answer
    x = 12,696,423.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.