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Finding the Third Proportional to 123,402,155,293 and 173,777,427,511

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Solution

The third proportional to 123,402,155,293 and 173,777,427,511 is: 244,716,911,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,402,155,293 : 173,777,427,511 = 173,777,427,511 : x
  2. Step 2: Convert to fraction form
    123,402,155,293/173,777,427,511 = 173,777,427,511/x
  3. Step 3: Cross multiply
    123,402,155,293x = 173,777,427,511 × 173,777,427,511
  4. Step 4: Simplify right side
    123,402,155,293x = 30,198,594,312,340,861,091,840
  5. Step 5: Solve for x
    x = 30,198,594,312,340,861,091,840/123,402,155,293
  6. Step 6: Final answer
    x = 244,716,911,472.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.