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Finding the Third Proportional to 5,857,381,776 and 8,923,115,946

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Solution

The third proportional to 5,857,381,776 and 8,923,115,946 is: 13,593,445,199.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857,381,776 : 8,923,115,946 = 8,923,115,946 : x
  2. Step 2: Convert to fraction form
    5,857,381,776/8,923,115,946 = 8,923,115,946/x
  3. Step 3: Cross multiply
    5,857,381,776x = 8,923,115,946 × 8,923,115,946
  4. Step 4: Simplify right side
    5,857,381,776x = 79,621,998,185,759,473,664
  5. Step 5: Solve for x
    x = 79,621,998,185,759,473,664/5,857,381,776
  6. Step 6: Final answer
    x = 13,593,445,199.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.