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Finding the Third Proportional to 1,123,125,281.40 and 1,752,679,847.02

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Solution

The third proportional to 1,123,125,281.40 and 1,752,679,847.02 is: 2,735,123,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123,125,281.40 : 1,752,679,847.02 = 1,752,679,847.02 : x
  2. Step 2: Convert to fraction form
    1,123,125,281.40/1,752,679,847.02 = 1,752,679,847.02/x
  3. Step 3: Cross multiply
    1,123,125,281.40x = 1,752,679,847.02 × 1,752,679,847.02
  4. Step 4: Simplify right side
    1,123,125,281.40x = 3,071,886,646,155,309,056
  5. Step 5: Solve for x
    x = 3,071,886,646,155,309,056/1,123,125,281.40
  6. Step 6: Final answer
    x = 2,735,123,763.15

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.