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Finding the Third Proportional to 363,070,021,510 and 542,603,955,690

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Solution

The third proportional to 363,070,021,510 and 542,603,955,690 is: 810,915,347,695.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,070,021,510 : 542,603,955,690 = 542,603,955,690 : x
  2. Step 2: Convert to fraction form
    363,070,021,510/542,603,955,690 = 542,603,955,690/x
  3. Step 3: Cross multiply
    363,070,021,510x = 542,603,955,690 × 542,603,955,690
  4. Step 4: Simplify right side
    363,070,021,510x = 294,419,052,730,435,479,011,328
  5. Step 5: Solve for x
    x = 294,419,052,730,435,479,011,328/363,070,021,510
  6. Step 6: Final answer
    x = 810,915,347,695.06

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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.