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Finding the Third Proportional to 67,629,682 and 147,710,858.50

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Solution

The third proportional to 67,629,682 and 147,710,858.50 is: 322,617,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,629,682 : 147,710,858.50 = 147,710,858.50 : x
  2. Step 2: Convert to fraction form
    67,629,682/147,710,858.50 = 147,710,858.50/x
  3. Step 3: Cross multiply
    67,629,682x = 147,710,858.50 × 147,710,858.50
  4. Step 4: Simplify right side
    67,629,682x = 21,818,497,718,807,024
  5. Step 5: Solve for x
    x = 21,818,497,718,807,024/67,629,682
  6. Step 6: Final answer
    x = 322,617,186.32

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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.