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Finding the Third Proportional to 38,796,230 and 64,657,780

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Solution

The third proportional to 38,796,230 and 64,657,780 is: 107,758,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,796,230 : 64,657,780 = 64,657,780 : x
  2. Step 2: Convert to fraction form
    38,796,230/64,657,780 = 64,657,780/x
  3. Step 3: Cross multiply
    38,796,230x = 64,657,780 × 64,657,780
  4. Step 4: Simplify right side
    38,796,230x = 4,180,628,514,528,400
  5. Step 5: Solve for x
    x = 4,180,628,514,528,400/38,796,230
  6. Step 6: Final answer
    x = 107,758,627.95

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.