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Finding the Third Proportional to 66,945,348 and 101,428,484.63

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Solution

The third proportional to 66,945,348 and 101,428,484.63 is: 153,673,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,945,348 : 101,428,484.63 = 101,428,484.63 : x
  2. Step 2: Convert to fraction form
    66,945,348/101,428,484.63 = 101,428,484.63/x
  3. Step 3: Cross multiply
    66,945,348x = 101,428,484.63 × 101,428,484.63
  4. Step 4: Simplify right side
    66,945,348x = 10,287,737,493,323,862
  5. Step 5: Solve for x
    x = 10,287,737,493,323,862/66,945,348
  6. Step 6: Final answer
    x = 153,673,672.64

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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.