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Finding the Third Proportional to 42,393,937 and 91,830,748

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Solution

The third proportional to 42,393,937 and 91,830,748 is: 198,917,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,393,937 : 91,830,748 = 91,830,748 : x
  2. Step 2: Convert to fraction form
    42,393,937/91,830,748 = 91,830,748/x
  3. Step 3: Cross multiply
    42,393,937x = 91,830,748 × 91,830,748
  4. Step 4: Simplify right side
    42,393,937x = 8,432,886,278,239,504
  5. Step 5: Solve for x
    x = 8,432,886,278,239,504/42,393,937
  6. Step 6: Final answer
    x = 198,917,271.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.