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Finding the Third Proportional to 31,034,628 and 67,441,095

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Solution

The third proportional to 31,034,628 and 67,441,095 is: 146,555,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034,628 : 67,441,095 = 67,441,095 : x
  2. Step 2: Convert to fraction form
    31,034,628/67,441,095 = 67,441,095/x
  3. Step 3: Cross multiply
    31,034,628x = 67,441,095 × 67,441,095
  4. Step 4: Simplify right side
    31,034,628x = 4,548,301,294,799,025
  5. Step 5: Solve for x
    x = 4,548,301,294,799,025/31,034,628
  6. Step 6: Final answer
    x = 146,555,689.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.