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Finding the Third Proportional to 31,003,347 and 72,414,804

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Solution

The third proportional to 31,003,347 and 72,414,804 is: 169,139,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003,347 : 72,414,804 = 72,414,804 : x
  2. Step 2: Convert to fraction form
    31,003,347/72,414,804 = 72,414,804/x
  3. Step 3: Cross multiply
    31,003,347x = 72,414,804 × 72,414,804
  4. Step 4: Simplify right side
    31,003,347x = 5,243,903,838,358,416
  5. Step 5: Solve for x
    x = 5,243,903,838,358,416/31,003,347
  6. Step 6: Final answer
    x = 169,139,926.68

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.