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Finding the Third Proportional to 4,649,866 and 9,852,881

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Solution

The third proportional to 4,649,866 and 9,852,881 is: 20,877,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,866 : 9,852,881 = 9,852,881 : x
  2. Step 2: Convert to fraction form
    4,649,866/9,852,881 = 9,852,881/x
  3. Step 3: Cross multiply
    4,649,866x = 9,852,881 × 9,852,881
  4. Step 4: Simplify right side
    4,649,866x = 97,079,264,000,161
  5. Step 5: Solve for x
    x = 97,079,264,000,161/4,649,866
  6. Step 6: Final answer
    x = 20,877,862.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.