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Finding the Third Proportional to 14,835,987 and 31,266,054

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Solution

The third proportional to 14,835,987 and 31,266,054 is: 65,891,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,835,987 : 31,266,054 = 31,266,054 : x
  2. Step 2: Convert to fraction form
    14,835,987/31,266,054 = 31,266,054/x
  3. Step 3: Cross multiply
    14,835,987x = 31,266,054 × 31,266,054
  4. Step 4: Simplify right side
    14,835,987x = 977,566,132,730,916
  5. Step 5: Solve for x
    x = 977,566,132,730,916/14,835,987
  6. Step 6: Final answer
    x = 65,891,546.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.