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Finding the Third Proportional to 29,775,390.75 and 45,539,020.13

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Solution

The third proportional to 29,775,390.75 and 45,539,020.13 is: 69,648,199.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,775,390.75 : 45,539,020.13 = 45,539,020.13 : x
  2. Step 2: Convert to fraction form
    29,775,390.75/45,539,020.13 = 45,539,020.13/x
  3. Step 3: Cross multiply
    29,775,390.75x = 45,539,020.13 × 45,539,020.13
  4. Step 4: Simplify right side
    29,775,390.75x = 2,073,802,353,945,155
  5. Step 5: Solve for x
    x = 2,073,802,353,945,155/29,775,390.75
  6. Step 6: Final answer
    x = 69,648,199.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.