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Finding the Third Proportional to 31,302,468 and 43,254,094.50

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Solution

The third proportional to 31,302,468 and 43,254,094.50 is: 59,768,983.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,302,468 : 43,254,094.50 = 43,254,094.50 : x
  2. Step 2: Convert to fraction form
    31,302,468/43,254,094.50 = 43,254,094.50/x
  3. Step 3: Cross multiply
    31,302,468x = 43,254,094.50 × 43,254,094.50
  4. Step 4: Simplify right side
    31,302,468x = 1,870,916,691,014,930.25
  5. Step 5: Solve for x
    x = 1,870,916,691,014,930.25/31,302,468
  6. Step 6: Final answer
    x = 59,768,983.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.