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Finding the Third Proportional to 3,778,863,587 and 8,186,528,787.50

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Solution

The third proportional to 3,778,863,587 and 8,186,528,787.50 is: 17,735,293,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778,863,587 : 8,186,528,787.50 = 8,186,528,787.50 : x
  2. Step 2: Convert to fraction form
    3,778,863,587/8,186,528,787.50 = 8,186,528,787.50/x
  3. Step 3: Cross multiply
    3,778,863,587x = 8,186,528,787.50 × 8,186,528,787.50
  4. Step 4: Simplify right side
    3,778,863,587x = 67,019,253,588,566,220,800
  5. Step 5: Solve for x
    x = 67,019,253,588,566,220,800/3,778,863,587
  6. Step 6: Final answer
    x = 17,735,293,176.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.