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Finding the Third Proportional to 1,191,846,528 and 2,565,844,320

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Solution

The third proportional to 1,191,846,528 and 2,565,844,320 is: 5,523,829,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,846,528 : 2,565,844,320 = 2,565,844,320 : x
  2. Step 2: Convert to fraction form
    1,191,846,528/2,565,844,320 = 2,565,844,320/x
  3. Step 3: Cross multiply
    1,191,846,528x = 2,565,844,320 × 2,565,844,320
  4. Step 4: Simplify right side
    1,191,846,528x = 6,583,557,074,476,262,400
  5. Step 5: Solve for x
    x = 6,583,557,074,476,262,400/1,191,846,528
  6. Step 6: Final answer
    x = 5,523,829,553.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.