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Finding the Third Proportional to 61,471,455 and 93,465,899.25

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Solution

The third proportional to 61,471,455 and 93,465,899.25 is: 142,112,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471,455 : 93,465,899.25 = 93,465,899.25 : x
  2. Step 2: Convert to fraction form
    61,471,455/93,465,899.25 = 93,465,899.25/x
  3. Step 3: Cross multiply
    61,471,455x = 93,465,899.25 × 93,465,899.25
  4. Step 4: Simplify right side
    61,471,455x = 8,735,874,322,611,151
  5. Step 5: Solve for x
    x = 8,735,874,322,611,151/61,471,455
  6. Step 6: Final answer
    x = 142,112,698.04

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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.