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Finding the Third Proportional to 611,447,533,438 and 911,868,897,264

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Solution

The third proportional to 611,447,533,438 and 911,868,897,264 is: 1,359,895,723,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,447,533,438 : 911,868,897,264 = 911,868,897,264 : x
  2. Step 2: Convert to fraction form
    611,447,533,438/911,868,897,264 = 911,868,897,264/x
  3. Step 3: Cross multiply
    611,447,533,438x = 911,868,897,264 × 911,868,897,264
  4. Step 4: Simplify right side
    611,447,533,438x = 831,504,885,797,463,347,167,232
  5. Step 5: Solve for x
    x = 831,504,885,797,463,347,167,232/611,447,533,438
  6. Step 6: Final answer
    x = 1,359,895,723,386.34

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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.