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Finding the Third Proportional to 34,953,996.75 and 54,271,315.13

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Solution

The third proportional to 34,953,996.75 and 54,271,315.13 is: 84,264,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,953,996.75 : 54,271,315.13 = 54,271,315.13 : x
  2. Step 2: Convert to fraction form
    34,953,996.75/54,271,315.13 = 54,271,315.13/x
  3. Step 3: Cross multiply
    34,953,996.75x = 54,271,315.13 × 54,271,315.13
  4. Step 4: Simplify right side
    34,953,996.75x = 2,945,375,645,397,054
  5. Step 5: Solve for x
    x = 2,945,375,645,397,054/34,953,996.75
  6. Step 6: Final answer
    x = 84,264,345.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.