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Finding the Third Proportional to 61,583,419.13 and 86,097,243.94

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Solution

The third proportional to 61,583,419.13 and 86,097,243.94 is: 120,369,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,583,419.13 : 86,097,243.94 = 86,097,243.94 : x
  2. Step 2: Convert to fraction form
    61,583,419.13/86,097,243.94 = 86,097,243.94/x
  3. Step 3: Cross multiply
    61,583,419.13x = 86,097,243.94 × 86,097,243.94
  4. Step 4: Simplify right side
    61,583,419.13x = 7,412,735,413,633,381
  5. Step 5: Solve for x
    x = 7,412,735,413,633,381/61,583,419.13
  6. Step 6: Final answer
    x = 120,369,013.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.