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Finding the Third Proportional to 3,411,851,940 and 5,241,933,420

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Solution

The third proportional to 3,411,851,940 and 5,241,933,420 is: 8,053,651,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411,851,940 : 5,241,933,420 = 5,241,933,420 : x
  2. Step 2: Convert to fraction form
    3,411,851,940/5,241,933,420 = 5,241,933,420/x
  3. Step 3: Cross multiply
    3,411,851,940x = 5,241,933,420 × 5,241,933,420
  4. Step 4: Simplify right side
    3,411,851,940x = 27,477,865,979,712,897,024
  5. Step 5: Solve for x
    x = 27,477,865,979,712,897,024/3,411,851,940
  6. Step 6: Final answer
    x = 8,053,651,349.16

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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.