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Finding the Third Proportional to 34,437,072 and 74,927,324

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Solution

The third proportional to 34,437,072 and 74,927,324 is: 163,025,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,437,072 : 74,927,324 = 74,927,324 : x
  2. Step 2: Convert to fraction form
    34,437,072/74,927,324 = 74,927,324/x
  3. Step 3: Cross multiply
    34,437,072x = 74,927,324 × 74,927,324
  4. Step 4: Simplify right side
    34,437,072x = 5,614,103,881,800,976
  5. Step 5: Solve for x
    x = 5,614,103,881,800,976/34,437,072
  6. Step 6: Final answer
    x = 163,025,006.36

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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.