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Finding the Third Proportional to 7,569,967 and 16,417,688

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Solution

The third proportional to 7,569,967 and 16,417,688 is: 35,606,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569,967 : 16,417,688 = 16,417,688 : x
  2. Step 2: Convert to fraction form
    7,569,967/16,417,688 = 16,417,688/x
  3. Step 3: Cross multiply
    7,569,967x = 16,417,688 × 16,417,688
  4. Step 4: Simplify right side
    7,569,967x = 269,540,479,265,344
  5. Step 5: Solve for x
    x = 269,540,479,265,344/7,569,967
  6. Step 6: Final answer
    x = 35,606,559.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.