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Finding the Third Proportional to 31,502,259 and 48,597,421.50

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Solution

The third proportional to 31,502,259 and 48,597,421.50 is: 74,969,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502,259 : 48,597,421.50 = 48,597,421.50 : x
  2. Step 2: Convert to fraction form
    31,502,259/48,597,421.50 = 48,597,421.50/x
  3. Step 3: Cross multiply
    31,502,259x = 48,597,421.50 × 48,597,421.50
  4. Step 4: Simplify right side
    31,502,259x = 2,361,709,376,448,662
  5. Step 5: Solve for x
    x = 2,361,709,376,448,662/31,502,259
  6. Step 6: Final answer
    x = 74,969,524.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.