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Finding the Third Proportional to 4,184,103,338 and 9,103,668,309

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Solution

The third proportional to 4,184,103,338 and 9,103,668,309 is: 19,807,535,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184,103,338 : 9,103,668,309 = 9,103,668,309 : x
  2. Step 2: Convert to fraction form
    4,184,103,338/9,103,668,309 = 9,103,668,309/x
  3. Step 3: Cross multiply
    4,184,103,338x = 9,103,668,309 × 9,103,668,309
  4. Step 4: Simplify right side
    4,184,103,338x = 82,876,776,680,290,926,592
  5. Step 5: Solve for x
    x = 82,876,776,680,290,926,592/4,184,103,338
  6. Step 6: Final answer
    x = 19,807,535,805.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.