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Finding the Third Proportional to 3,411,851,952 and 5,241,933,438

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Solution

The third proportional to 3,411,851,952 and 5,241,933,438 is: 8,053,651,376.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411,851,952 : 5,241,933,438 = 5,241,933,438 : x
  2. Step 2: Convert to fraction form
    3,411,851,952/5,241,933,438 = 5,241,933,438/x
  3. Step 3: Cross multiply
    3,411,851,952x = 5,241,933,438 × 5,241,933,438
  4. Step 4: Simplify right side
    3,411,851,952x = 27,477,866,168,422,498,304
  5. Step 5: Solve for x
    x = 27,477,866,168,422,498,304/3,411,851,952
  6. Step 6: Final answer
    x = 8,053,651,376.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.