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Finding the Third Proportional to 47,974,730 and 105,283,576

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Solution

The third proportional to 47,974,730 and 105,283,576 is: 231,051,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,974,730 : 105,283,576 = 105,283,576 : x
  2. Step 2: Convert to fraction form
    47,974,730/105,283,576 = 105,283,576/x
  3. Step 3: Cross multiply
    47,974,730x = 105,283,576 × 105,283,576
  4. Step 4: Simplify right side
    47,974,730x = 11,084,631,375,347,776
  5. Step 5: Solve for x
    x = 11,084,631,375,347,776/47,974,730
  6. Step 6: Final answer
    x = 231,051,459.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.