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Finding the Third Proportional to 77,487,354,044 and 120,310,723,077

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Solution

The third proportional to 77,487,354,044 and 120,310,723,077 is: 186,800,417,511.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,487,354,044 : 120,310,723,077 = 120,310,723,077 : x
  2. Step 2: Convert to fraction form
    77,487,354,044/120,310,723,077 = 120,310,723,077/x
  3. Step 3: Cross multiply
    77,487,354,044x = 120,310,723,077 × 120,310,723,077
  4. Step 4: Simplify right side
    77,487,354,044x = 14,474,670,087,310,579,597,312
  5. Step 5: Solve for x
    x = 14,474,670,087,310,579,597,312/77,487,354,044
  6. Step 6: Final answer
    x = 186,800,417,511.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.