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Finding the Third Proportional to 31,630,522 and 69,060,968

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Solution

The third proportional to 31,630,522 and 69,060,968 is: 150,785,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630,522 : 69,060,968 = 69,060,968 : x
  2. Step 2: Convert to fraction form
    31,630,522/69,060,968 = 69,060,968/x
  3. Step 3: Cross multiply
    31,630,522x = 69,060,968 × 69,060,968
  4. Step 4: Simplify right side
    31,630,522x = 4,769,417,301,097,024
  5. Step 5: Solve for x
    x = 4,769,417,301,097,024/31,630,522
  6. Step 6: Final answer
    x = 150,785,285.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.