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Finding the Third Proportional to 42,024,099 and 64,900,444.50

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Solution

The third proportional to 42,024,099 and 64,900,444.50 is: 100,229,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,024,099 : 64,900,444.50 = 64,900,444.50 : x
  2. Step 2: Convert to fraction form
    42,024,099/64,900,444.50 = 64,900,444.50/x
  3. Step 3: Cross multiply
    42,024,099x = 64,900,444.50 × 64,900,444.50
  4. Step 4: Simplify right side
    42,024,099x = 4,212,067,696,297,580
  5. Step 5: Solve for x
    x = 4,212,067,696,297,580/42,024,099
  6. Step 6: Final answer
    x = 100,229,815.67

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