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Finding the Third Proportional to 29,978,610 and 62,312,340

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Solution

The third proportional to 29,978,610 and 62,312,340 is: 129,519,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978,610 : 62,312,340 = 62,312,340 : x
  2. Step 2: Convert to fraction form
    29,978,610/62,312,340 = 62,312,340/x
  3. Step 3: Cross multiply
    29,978,610x = 62,312,340 × 62,312,340
  4. Step 4: Simplify right side
    29,978,610x = 3,882,827,716,275,600
  5. Step 5: Solve for x
    x = 3,882,827,716,275,600/29,978,610
  6. Step 6: Final answer
    x = 129,519,938.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.