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Finding the Third Proportional to 7,841,827.13 and 16,986,423.38

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Solution

The third proportional to 7,841,827.13 and 16,986,423.38 is: 36,794,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,827.13 : 16,986,423.38 = 16,986,423.38 : x
  2. Step 2: Convert to fraction form
    7,841,827.13/16,986,423.38 = 16,986,423.38/x
  3. Step 3: Cross multiply
    7,841,827.13x = 16,986,423.38 × 16,986,423.38
  4. Step 4: Simplify right side
    7,841,827.13x = 288,538,579,074,746.38
  5. Step 5: Solve for x
    x = 288,538,579,074,746.38/7,841,827.13
  6. Step 6: Final answer
    x = 36,794,815.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.