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Finding the Third Proportional to 1,033,575,648.75 and 2,268,035,428.50

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Solution

The third proportional to 1,033,575,648.75 and 2,268,035,428.50 is: 4,976,882,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,575,648.75 : 2,268,035,428.50 = 2,268,035,428.50 : x
  2. Step 2: Convert to fraction form
    1,033,575,648.75/2,268,035,428.50 = 2,268,035,428.50/x
  3. Step 3: Cross multiply
    1,033,575,648.75x = 2,268,035,428.50 × 2,268,035,428.50
  4. Step 4: Simplify right side
    1,033,575,648.75x = 5,143,984,704,931,178,496
  5. Step 5: Solve for x
    x = 5,143,984,704,931,178,496/1,033,575,648.75
  6. Step 6: Final answer
    x = 4,976,882,641.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.