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Finding the Third Proportional to 49,559,623 and 106,293,496

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Solution

The third proportional to 49,559,623 and 106,293,496 is: 227,974,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,559,623 : 106,293,496 = 106,293,496 : x
  2. Step 2: Convert to fraction form
    49,559,623/106,293,496 = 106,293,496/x
  3. Step 3: Cross multiply
    49,559,623x = 106,293,496 × 106,293,496
  4. Step 4: Simplify right side
    49,559,623x = 11,298,307,291,902,016
  5. Step 5: Solve for x
    x = 11,298,307,291,902,016/49,559,623
  6. Step 6: Final answer
    x = 227,974,036.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.