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Finding the Third Proportional to 42,649,856,820 and 93,829,535,829

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Solution

The third proportional to 42,649,856,820 and 93,829,535,829 is: 206,424,650,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,649,856,820 : 93,829,535,829 = 93,829,535,829 : x
  2. Step 2: Convert to fraction form
    42,649,856,820/93,829,535,829 = 93,829,535,829/x
  3. Step 3: Cross multiply
    42,649,856,820x = 93,829,535,829 × 93,829,535,829
  4. Step 4: Simplify right side
    42,649,856,820x = 8,803,981,793,885,594,583,040
  5. Step 5: Solve for x
    x = 8,803,981,793,885,594,583,040/42,649,856,820
  6. Step 6: Final answer
    x = 206,424,650,639.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.