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Finding the Third Proportional to 7,887,464 and 16,970,488

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Solution

The third proportional to 7,887,464 and 16,970,488 is: 36,513,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887,464 : 16,970,488 = 16,970,488 : x
  2. Step 2: Convert to fraction form
    7,887,464/16,970,488 = 16,970,488/x
  3. Step 3: Cross multiply
    7,887,464x = 16,970,488 × 16,970,488
  4. Step 4: Simplify right side
    7,887,464x = 287,997,462,958,144
  5. Step 5: Solve for x
    x = 287,997,462,958,144/7,887,464
  6. Step 6: Final answer
    x = 36,513,315.68

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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.