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Finding the Third Proportional to 27,574,941 and 43,643,484

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Solution

The third proportional to 27,574,941 and 43,643,484 is: 69,075,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574,941 : 43,643,484 = 43,643,484 : x
  2. Step 2: Convert to fraction form
    27,574,941/43,643,484 = 43,643,484/x
  3. Step 3: Cross multiply
    27,574,941x = 43,643,484 × 43,643,484
  4. Step 4: Simplify right side
    27,574,941x = 1,904,753,695,658,256
  5. Step 5: Solve for x
    x = 1,904,753,695,658,256/27,574,941
  6. Step 6: Final answer
    x = 69,075,531.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.