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Finding the Third Proportional to 52,186,315.50 and 76,681,998.84

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Solution

The third proportional to 52,186,315.50 and 76,681,998.84 is: 112,675,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,186,315.50 : 76,681,998.84 = 76,681,998.84 : x
  2. Step 2: Convert to fraction form
    52,186,315.50/76,681,998.84 = 76,681,998.84/x
  3. Step 3: Cross multiply
    52,186,315.50x = 76,681,998.84 × 76,681,998.84
  4. Step 4: Simplify right side
    52,186,315.50x = 5,880,128,946,672,876
  5. Step 5: Solve for x
    x = 5,880,128,946,672,876/52,186,315.50
  6. Step 6: Final answer
    x = 112,675,686.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.