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Finding the Third Proportional to 31,299,062 and 66,905,511

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Solution

The third proportional to 31,299,062 and 66,905,511 is: 143,018,579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299,062 : 66,905,511 = 66,905,511 : x
  2. Step 2: Convert to fraction form
    31,299,062/66,905,511 = 66,905,511/x
  3. Step 3: Cross multiply
    31,299,062x = 66,905,511 × 66,905,511
  4. Step 4: Simplify right side
    31,299,062x = 4,476,347,402,171,121
  5. Step 5: Solve for x
    x = 4,476,347,402,171,121/31,299,062
  6. Step 6: Final answer
    x = 143,018,579.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.