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Finding the Third Proportional to 39,433,931,204 and 87,684,726,664

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Solution

The third proportional to 39,433,931,204 and 87,684,726,664 is: 194,974,506,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,433,931,204 : 87,684,726,664 = 87,684,726,664 : x
  2. Step 2: Convert to fraction form
    39,433,931,204/87,684,726,664 = 87,684,726,664/x
  3. Step 3: Cross multiply
    39,433,931,204x = 87,684,726,664 × 87,684,726,664
  4. Step 4: Simplify right side
    39,433,931,204x = 7,688,611,290,140,392,816,640
  5. Step 5: Solve for x
    x = 7,688,611,290,140,392,816,640/39,433,931,204
  6. Step 6: Final answer
    x = 194,974,506,862.27

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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.