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Finding the Third Proportional to 38,303,997 and 53,748,097.50

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Solution

The third proportional to 38,303,997 and 53,748,097.50 is: 75,419,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,303,997 : 53,748,097.50 = 53,748,097.50 : x
  2. Step 2: Convert to fraction form
    38,303,997/53,748,097.50 = 53,748,097.50/x
  3. Step 3: Cross multiply
    38,303,997x = 53,748,097.50 × 53,748,097.50
  4. Step 4: Simplify right side
    38,303,997x = 2,888,857,984,869,506
  5. Step 5: Solve for x
    x = 2,888,857,984,869,506/38,303,997
  6. Step 6: Final answer
    x = 75,419,230.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.