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Finding the Third Proportional to 78,923,681,334 and 186,245,762,769

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Solution

The third proportional to 78,923,681,334 and 186,245,762,769 is: 439,506,667,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,923,681,334 : 186,245,762,769 = 186,245,762,769 : x
  2. Step 2: Convert to fraction form
    78,923,681,334/186,245,762,769 = 186,245,762,769/x
  3. Step 3: Cross multiply
    78,923,681,334x = 186,245,762,769 × 186,245,762,769
  4. Step 4: Simplify right side
    78,923,681,334x = 34,687,484,149,406,625,693,696
  5. Step 5: Solve for x
    x = 34,687,484,149,406,625,693,696/78,923,681,334
  6. Step 6: Final answer
    x = 439,506,667,239.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.