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Finding the Third Proportional to 5,064,307,984 and 7,649,381,866

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Solution

The third proportional to 5,064,307,984 and 7,649,381,866 is: 11,554,005,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064,307,984 : 7,649,381,866 = 7,649,381,866 : x
  2. Step 2: Convert to fraction form
    5,064,307,984/7,649,381,866 = 7,649,381,866/x
  3. Step 3: Cross multiply
    5,064,307,984x = 7,649,381,866 × 7,649,381,866
  4. Step 4: Simplify right side
    5,064,307,984x = 58,513,042,931,889,643,520
  5. Step 5: Solve for x
    x = 58,513,042,931,889,643,520/5,064,307,984
  6. Step 6: Final answer
    x = 11,554,005,624.61

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Why These Related Problems?

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