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Finding the Third Proportional to 78,923,681,336 and 186,245,762,774

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Solution

The third proportional to 78,923,681,336 and 186,245,762,774 is: 439,506,667,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,923,681,336 : 186,245,762,774 = 186,245,762,774 : x
  2. Step 2: Convert to fraction form
    78,923,681,336/186,245,762,774 = 186,245,762,774/x
  3. Step 3: Cross multiply
    78,923,681,336x = 186,245,762,774 × 186,245,762,774
  4. Step 4: Simplify right side
    78,923,681,336x = 34,687,484,151,269,085,413,376
  5. Step 5: Solve for x
    x = 34,687,484,151,269,085,413,376/78,923,681,336
  6. Step 6: Final answer
    x = 439,506,667,252.32

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