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Finding the Third Proportional to 31,900,758 and 69,977,066

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Solution

The third proportional to 31,900,758 and 69,977,066 is: 153,500,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,900,758 : 69,977,066 = 69,977,066 : x
  2. Step 2: Convert to fraction form
    31,900,758/69,977,066 = 69,977,066/x
  3. Step 3: Cross multiply
    31,900,758x = 69,977,066 × 69,977,066
  4. Step 4: Simplify right side
    31,900,758x = 4,896,789,765,968,356
  5. Step 5: Solve for x
    x = 4,896,789,765,968,356/31,900,758
  6. Step 6: Final answer
    x = 153,500,733.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.