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Finding the Third Proportional to 7,812,298.13 and 17,114,085

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Solution

The third proportional to 7,812,298.13 and 17,114,085 is: 37,491,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812,298.13 : 17,114,085 = 17,114,085 : x
  2. Step 2: Convert to fraction form
    7,812,298.13/17,114,085 = 17,114,085/x
  3. Step 3: Cross multiply
    7,812,298.13x = 17,114,085 × 17,114,085
  4. Step 4: Simplify right side
    7,812,298.13x = 292,891,905,387,225
  5. Step 5: Solve for x
    x = 292,891,905,387,225/7,812,298.13
  6. Step 6: Final answer
    x = 37,491,132.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.