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Finding the Third Proportional to 66,365,967 and 100,471,284

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Solution

The third proportional to 66,365,967 and 100,471,284 is: 152,103,244.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,365,967 : 100,471,284 = 100,471,284 : x
  2. Step 2: Convert to fraction form
    66,365,967/100,471,284 = 100,471,284/x
  3. Step 3: Cross multiply
    66,365,967x = 100,471,284 × 100,471,284
  4. Step 4: Simplify right side
    66,365,967x = 10,094,478,908,608,656
  5. Step 5: Solve for x
    x = 10,094,478,908,608,656/66,365,967
  6. Step 6: Final answer
    x = 152,103,244.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.