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Finding the Third Proportional to 1,154,769,217.13 and 1,668,442,465.13

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Solution

The third proportional to 1,154,769,217.13 and 1,668,442,465.13 is: 2,410,611,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,769,217.13 : 1,668,442,465.13 = 1,668,442,465.13 : x
  2. Step 2: Convert to fraction form
    1,154,769,217.13/1,668,442,465.13 = 1,668,442,465.13/x
  3. Step 3: Cross multiply
    1,154,769,217.13x = 1,668,442,465.13 × 1,668,442,465.13
  4. Step 4: Simplify right side
    1,154,769,217.13x = 2,783,700,259,432,387,072
  5. Step 5: Solve for x
    x = 2,783,700,259,432,387,072/1,154,769,217.13
  6. Step 6: Final answer
    x = 2,410,611,763.94

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.