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Finding the Third Proportional to 3,186,024,076 and 4,986,896,124

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Solution

The third proportional to 3,186,024,076 and 4,986,896,124 is: 7,805,695,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186,024,076 : 4,986,896,124 = 4,986,896,124 : x
  2. Step 2: Convert to fraction form
    3,186,024,076/4,986,896,124 = 4,986,896,124/x
  3. Step 3: Cross multiply
    3,186,024,076x = 4,986,896,124 × 4,986,896,124
  4. Step 4: Simplify right side
    3,186,024,076x = 24,869,132,951,566,225,408
  5. Step 5: Solve for x
    x = 24,869,132,951,566,225,408/3,186,024,076
  6. Step 6: Final answer
    x = 7,805,695,235.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.