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Finding the Third Proportional to 42,775,872 and 92,370,432

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Solution

The third proportional to 42,775,872 and 92,370,432 is: 199,465,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775,872 : 92,370,432 = 92,370,432 : x
  2. Step 2: Convert to fraction form
    42,775,872/92,370,432 = 92,370,432/x
  3. Step 3: Cross multiply
    42,775,872x = 92,370,432 × 92,370,432
  4. Step 4: Simplify right side
    42,775,872x = 8,532,296,707,866,624
  5. Step 5: Solve for x
    x = 8,532,296,707,866,624/42,775,872
  6. Step 6: Final answer
    x = 199,465,172.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.