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Finding the Third Proportional to 611,447,533,432 and 911,868,897,256

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Solution

The third proportional to 611,447,533,432 and 911,868,897,256 is: 1,359,895,723,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,447,533,432 : 911,868,897,256 = 911,868,897,256 : x
  2. Step 2: Convert to fraction form
    611,447,533,432/911,868,897,256 = 911,868,897,256/x
  3. Step 3: Cross multiply
    611,447,533,432x = 911,868,897,256 × 911,868,897,256
  4. Step 4: Simplify right side
    611,447,533,432x = 831,504,885,782,873,477,480,448
  5. Step 5: Solve for x
    x = 831,504,885,782,873,477,480,448/611,447,533,432
  6. Step 6: Final answer
    x = 1,359,895,723,375.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.