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Finding the Third Proportional to 45,421,046 and 99,635,703

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Solution

The third proportional to 45,421,046 and 99,635,703 is: 218,561,089.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,421,046 : 99,635,703 = 99,635,703 : x
  2. Step 2: Convert to fraction form
    45,421,046/99,635,703 = 99,635,703/x
  3. Step 3: Cross multiply
    45,421,046x = 99,635,703 × 99,635,703
  4. Step 4: Simplify right side
    45,421,046x = 9,927,273,312,304,208
  5. Step 5: Solve for x
    x = 9,927,273,312,304,208/45,421,046
  6. Step 6: Final answer
    x = 218,561,089.77

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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.