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Finding the Third Proportional to 34,550,448 and 75,609,440

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Solution

The third proportional to 34,550,448 and 75,609,440 is: 165,462,034.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,550,448 : 75,609,440 = 75,609,440 : x
  2. Step 2: Convert to fraction form
    34,550,448/75,609,440 = 75,609,440/x
  3. Step 3: Cross multiply
    34,550,448x = 75,609,440 × 75,609,440
  4. Step 4: Simplify right side
    34,550,448x = 5,716,787,417,113,600
  5. Step 5: Solve for x
    x = 5,716,787,417,113,600/34,550,448
  6. Step 6: Final answer
    x = 165,462,034.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.