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Finding the Third Proportional to 764,501,176.13 and 1,180,549,540.69

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Solution

The third proportional to 764,501,176.13 and 1,180,549,540.69 is: 1,823,015,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,501,176.13 : 1,180,549,540.69 = 1,180,549,540.69 : x
  2. Step 2: Convert to fraction form
    764,501,176.13/1,180,549,540.69 = 1,180,549,540.69/x
  3. Step 3: Cross multiply
    764,501,176.13x = 1,180,549,540.69 × 1,180,549,540.69
  4. Step 4: Simplify right side
    764,501,176.13x = 1,393,697,218,017,467,136
  5. Step 5: Solve for x
    x = 1,393,697,218,017,467,136/764,501,176.13
  6. Step 6: Final answer
    x = 1,823,015,139.21

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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.