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Finding the Third Proportional to 7,730,208 and 16,395,840

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Solution

The third proportional to 7,730,208 and 16,395,840 is: 34,775,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730,208 : 16,395,840 = 16,395,840 : x
  2. Step 2: Convert to fraction form
    7,730,208/16,395,840 = 16,395,840/x
  3. Step 3: Cross multiply
    7,730,208x = 16,395,840 × 16,395,840
  4. Step 4: Simplify right side
    7,730,208x = 268,823,569,305,600
  5. Step 5: Solve for x
    x = 268,823,569,305,600/7,730,208
  6. Step 6: Final answer
    x = 34,775,722.63

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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.