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Finding the Third Proportional to 34,913,644 and 75,870,695

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Solution

The third proportional to 34,913,644 and 75,870,695 is: 164,874,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,913,644 : 75,870,695 = 75,870,695 : x
  2. Step 2: Convert to fraction form
    34,913,644/75,870,695 = 75,870,695/x
  3. Step 3: Cross multiply
    34,913,644x = 75,870,695 × 75,870,695
  4. Step 4: Simplify right side
    34,913,644x = 5,756,362,359,783,025
  5. Step 5: Solve for x
    x = 5,756,362,359,783,025/34,913,644
  6. Step 6: Final answer
    x = 164,874,292.69

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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.