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Finding the Third Proportional to 5,064,307,974 and 7,649,381,850

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Solution

The third proportional to 5,064,307,974 and 7,649,381,850 is: 11,554,005,599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064,307,974 : 7,649,381,850 = 7,649,381,850 : x
  2. Step 2: Convert to fraction form
    5,064,307,974/7,649,381,850 = 7,649,381,850/x
  3. Step 3: Cross multiply
    5,064,307,974x = 7,649,381,850 × 7,649,381,850
  4. Step 4: Simplify right side
    5,064,307,974x = 58,513,042,687,109,423,104
  5. Step 5: Solve for x
    x = 58,513,042,687,109,423,104/5,064,307,974
  6. Step 6: Final answer
    x = 11,554,005,599.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.