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Finding the Third Proportional to 1,039,761,864.84 and 2,311,999,642.69

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Solution

The third proportional to 1,039,761,864.84 and 2,311,999,642.69 is: 5,140,929,407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,761,864.84 : 2,311,999,642.69 = 2,311,999,642.69 : x
  2. Step 2: Convert to fraction form
    1,039,761,864.84/2,311,999,642.69 = 2,311,999,642.69/x
  3. Step 3: Cross multiply
    1,039,761,864.84x = 2,311,999,642.69 × 2,311,999,642.69
  4. Step 4: Simplify right side
    1,039,761,864.84x = 5,345,342,347,787,127,808
  5. Step 5: Solve for x
    x = 5,345,342,347,787,127,808/1,039,761,864.84
  6. Step 6: Final answer
    x = 5,140,929,407.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.