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Finding the Third Proportional to 1,432,117,681 and 3,084,597,482

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Solution

The third proportional to 1,432,117,681 and 3,084,597,482 is: 6,643,826,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,117,681 : 3,084,597,482 = 3,084,597,482 : x
  2. Step 2: Convert to fraction form
    1,432,117,681/3,084,597,482 = 3,084,597,482/x
  3. Step 3: Cross multiply
    1,432,117,681x = 3,084,597,482 × 3,084,597,482
  4. Step 4: Simplify right side
    1,432,117,681x = 9,514,741,625,960,740,864
  5. Step 5: Solve for x
    x = 9,514,741,625,960,740,864/1,432,117,681
  6. Step 6: Final answer
    x = 6,643,826,657.68

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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.