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Finding the Third Proportional to 14,365,299 and 31,009,614

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Solution

The third proportional to 14,365,299 and 31,009,614 is: 66,938,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365,299 : 31,009,614 = 31,009,614 : x
  2. Step 2: Convert to fraction form
    14,365,299/31,009,614 = 31,009,614/x
  3. Step 3: Cross multiply
    14,365,299x = 31,009,614 × 31,009,614
  4. Step 4: Simplify right side
    14,365,299x = 961,596,160,428,996
  5. Step 5: Solve for x
    x = 961,596,160,428,996/14,365,299
  6. Step 6: Final answer
    x = 66,938,819.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.