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Finding the Third Proportional to 1,497,395,352 and 3,231,544,416

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Solution

The third proportional to 1,497,395,352 and 3,231,544,416 is: 6,974,029,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497,395,352 : 3,231,544,416 = 3,231,544,416 : x
  2. Step 2: Convert to fraction form
    1,497,395,352/3,231,544,416 = 3,231,544,416/x
  3. Step 3: Cross multiply
    1,497,395,352x = 3,231,544,416 × 3,231,544,416
  4. Step 4: Simplify right side
    1,497,395,352x = 10,442,879,312,580,780,032
  5. Step 5: Solve for x
    x = 10,442,879,312,580,780,032/1,497,395,352
  6. Step 6: Final answer
    x = 6,974,029,469.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.