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Finding the Third Proportional to 14,602,986 and 31,160,509

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Solution

The third proportional to 14,602,986 and 31,160,509 is: 66,491,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602,986 : 31,160,509 = 31,160,509 : x
  2. Step 2: Convert to fraction form
    14,602,986/31,160,509 = 31,160,509/x
  3. Step 3: Cross multiply
    14,602,986x = 31,160,509 × 31,160,509
  4. Step 4: Simplify right side
    14,602,986x = 970,977,321,139,081
  5. Step 5: Solve for x
    x = 970,977,321,139,081/14,602,986
  6. Step 6: Final answer
    x = 66,491,697.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.