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Finding the Third Proportional to 19,213,605 and 41,838,663.38

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Solution

The third proportional to 19,213,605 and 41,838,663.38 is: 91,105,950.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,213,605 : 41,838,663.38 = 41,838,663.38 : x
  2. Step 2: Convert to fraction form
    19,213,605/41,838,663.38 = 41,838,663.38/x
  3. Step 3: Cross multiply
    19,213,605x = 41,838,663.38 × 41,838,663.38
  4. Step 4: Simplify right side
    19,213,605x = 1,750,473,753,006,566.50
  5. Step 5: Solve for x
    x = 1,750,473,753,006,566.50/19,213,605
  6. Step 6: Final answer
    x = 91,105,950.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.