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Finding the Third Proportional to 534,189,534 and 1,159,746,336

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Solution

The third proportional to 534,189,534 and 1,159,746,336 is: 2,517,854,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,189,534 : 1,159,746,336 = 1,159,746,336 : x
  2. Step 2: Convert to fraction form
    534,189,534/1,159,746,336 = 1,159,746,336/x
  3. Step 3: Cross multiply
    534,189,534x = 1,159,746,336 × 1,159,746,336
  4. Step 4: Simplify right side
    534,189,534x = 1,345,011,563,865,424,896
  5. Step 5: Solve for x
    x = 1,345,011,563,865,424,896/534,189,534
  6. Step 6: Final answer
    x = 2,517,854,578.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.