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Finding the Third Proportional to 39,433,931,200 and 87,684,726,656

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Solution

The third proportional to 39,433,931,200 and 87,684,726,656 is: 194,974,506,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,433,931,200 : 87,684,726,656 = 87,684,726,656 : x
  2. Step 2: Convert to fraction form
    39,433,931,200/87,684,726,656 = 87,684,726,656/x
  3. Step 3: Cross multiply
    39,433,931,200x = 87,684,726,656 × 87,684,726,656
  4. Step 4: Simplify right side
    39,433,931,200x = 7,688,611,288,737,436,925,952
  5. Step 5: Solve for x
    x = 7,688,611,288,737,436,925,952/39,433,931,200
  6. Step 6: Final answer
    x = 194,974,506,846.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.