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Finding the Third Proportional to 24,375,639,673.56 and 49,436,666,827.56

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Solution

The third proportional to 24,375,639,673.56 and 49,436,666,827.56 is: 100,263,380,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375,639,673.56 : 49,436,666,827.56 = 49,436,666,827.56 : x
  2. Step 2: Convert to fraction form
    24,375,639,673.56/49,436,666,827.56 = 49,436,666,827.56/x
  3. Step 3: Cross multiply
    24,375,639,673.56x = 49,436,666,827.56 × 49,436,666,827.56
  4. Step 4: Simplify right side
    24,375,639,673.56x = 2,443,984,027,019,368,726,528
  5. Step 5: Solve for x
    x = 2,443,984,027,019,368,726,528/24,375,639,673.56
  6. Step 6: Final answer
    x = 100,263,380,151.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.