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Finding the Third Proportional to 52,902,811.13 and 81,713,053.13

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Solution

The third proportional to 52,902,811.13 and 81,713,053.13 is: 126,213,010.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,902,811.13 : 81,713,053.13 = 81,713,053.13 : x
  2. Step 2: Convert to fraction form
    52,902,811.13/81,713,053.13 = 81,713,053.13/x
  3. Step 3: Cross multiply
    52,902,811.13x = 81,713,053.13 × 81,713,053.13
  4. Step 4: Simplify right side
    52,902,811.13x = 6,677,023,051,009,072
  5. Step 5: Solve for x
    x = 6,677,023,051,009,072/52,902,811.13
  6. Step 6: Final answer
    x = 126,213,010.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.