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Finding the Third Proportional to 671,092,146 and 1,435,452,552

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Solution

The third proportional to 671,092,146 and 1,435,452,552 is: 3,070,404,029.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,092,146 : 1,435,452,552 = 1,435,452,552 : x
  2. Step 2: Convert to fraction form
    671,092,146/1,435,452,552 = 1,435,452,552/x
  3. Step 3: Cross multiply
    671,092,146x = 1,435,452,552 × 1,435,452,552
  4. Step 4: Simplify right side
    671,092,146x = 2,060,524,029,043,312,640
  5. Step 5: Solve for x
    x = 2,060,524,029,043,312,640/671,092,146
  6. Step 6: Final answer
    x = 3,070,404,029.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.