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Finding the Third Proportional to 30,851,578 and 45,141,691

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Solution

The third proportional to 30,851,578 and 45,141,691 is: 66,050,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851,578 : 45,141,691 = 45,141,691 : x
  2. Step 2: Convert to fraction form
    30,851,578/45,141,691 = 45,141,691/x
  3. Step 3: Cross multiply
    30,851,578x = 45,141,691 × 45,141,691
  4. Step 4: Simplify right side
    30,851,578x = 2,037,772,266,339,481
  5. Step 5: Solve for x
    x = 2,037,772,266,339,481/30,851,578
  6. Step 6: Final answer
    x = 66,050,827.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.