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Finding the Third Proportional to 1,418,189,952 and 2,178,513,408

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Solution

The third proportional to 1,418,189,952 and 2,178,513,408 is: 3,346,463,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,189,952 : 2,178,513,408 = 2,178,513,408 : x
  2. Step 2: Convert to fraction form
    1,418,189,952/2,178,513,408 = 2,178,513,408/x
  3. Step 3: Cross multiply
    1,418,189,952x = 2,178,513,408 × 2,178,513,408
  4. Step 4: Simplify right side
    1,418,189,952x = 4,745,920,668,835,774,464
  5. Step 5: Solve for x
    x = 4,745,920,668,835,774,464/1,418,189,952
  6. Step 6: Final answer
    x = 3,346,463,329.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.