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Finding the Third Proportional to 974,622,320 and 2,127,841,980

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Solution

The third proportional to 974,622,320 and 2,127,841,980 is: 4,645,606,199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,622,320 : 2,127,841,980 = 2,127,841,980 : x
  2. Step 2: Convert to fraction form
    974,622,320/2,127,841,980 = 2,127,841,980/x
  3. Step 3: Cross multiply
    974,622,320x = 2,127,841,980 × 2,127,841,980
  4. Step 4: Simplify right side
    974,622,320x = 4,527,711,491,850,320,384
  5. Step 5: Solve for x
    x = 4,527,711,491,850,320,384/974,622,320
  6. Step 6: Final answer
    x = 4,645,606,199.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.