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Finding the Third Proportional to 6,857,605.13 and 14,897,377.13

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Solution

The third proportional to 6,857,605.13 and 14,897,377.13 is: 32,362,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857,605.13 : 14,897,377.13 = 14,897,377.13 : x
  2. Step 2: Convert to fraction form
    6,857,605.13/14,897,377.13 = 14,897,377.13/x
  3. Step 3: Cross multiply
    6,857,605.13x = 14,897,377.13 × 14,897,377.13
  4. Step 4: Simplify right side
    6,857,605.13x = 221,931,845,204,473.25
  5. Step 5: Solve for x
    x = 221,931,845,204,473.25/6,857,605.13
  6. Step 6: Final answer
    x = 32,362,879.05

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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.