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Finding the Third Proportional to 66,039,750 and 100,056,897

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Solution

The third proportional to 66,039,750 and 100,056,897 is: 151,596,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,039,750 : 100,056,897 = 100,056,897 : x
  2. Step 2: Convert to fraction form
    66,039,750/100,056,897 = 100,056,897/x
  3. Step 3: Cross multiply
    66,039,750x = 100,056,897 × 100,056,897
  4. Step 4: Simplify right side
    66,039,750x = 10,011,382,637,268,608
  5. Step 5: Solve for x
    x = 10,011,382,637,268,608/66,039,750
  6. Step 6: Final answer
    x = 151,596,313.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.