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Finding the Third Proportional to 57,307,092.94 and 81,011,595.10

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Solution

The third proportional to 57,307,092.94 and 81,011,595.10 is: 114,521,225.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,307,092.94 : 81,011,595.10 = 81,011,595.10 : x
  2. Step 2: Convert to fraction form
    57,307,092.94/81,011,595.10 = 81,011,595.10/x
  3. Step 3: Cross multiply
    57,307,092.94x = 81,011,595.10 × 81,011,595.10
  4. Step 4: Simplify right side
    57,307,092.94x = 6,562,878,541,057,560
  5. Step 5: Solve for x
    x = 6,562,878,541,057,560/57,307,092.94
  6. Step 6: Final answer
    x = 114,521,225.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.