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Finding the Third Proportional to 34,658,629.31 and 75,096,649.13

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Solution

The third proportional to 34,658,629.31 and 75,096,649.13 is: 162,715,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658,629.31 : 75,096,649.13 = 75,096,649.13 : x
  2. Step 2: Convert to fraction form
    34,658,629.31/75,096,649.13 = 75,096,649.13/x
  3. Step 3: Cross multiply
    34,658,629.31x = 75,096,649.13 × 75,096,649.13
  4. Step 4: Simplify right side
    34,658,629.31x = 5,639,506,709,803,363
  5. Step 5: Solve for x
    x = 5,639,506,709,803,363/34,658,629.31
  6. Step 6: Final answer
    x = 162,715,803.30

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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.