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Finding the Third Proportional to 48,747,682,944 and 67,358,223,666

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Solution

The third proportional to 48,747,682,944 and 67,358,223,666 is: 93,073,763,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,747,682,944 : 67,358,223,666 = 67,358,223,666 : x
  2. Step 2: Convert to fraction form
    48,747,682,944/67,358,223,666 = 67,358,223,666/x
  3. Step 3: Cross multiply
    48,747,682,944x = 67,358,223,666 × 67,358,223,666
  4. Step 4: Simplify right side
    48,747,682,944x = 4,537,130,295,438,882,635,776
  5. Step 5: Solve for x
    x = 4,537,130,295,438,882,635,776/48,747,682,944
  6. Step 6: Final answer
    x = 93,073,763,129.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.