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Finding the Third Proportional to 1,233,149,859 and 1,781,688,594.75

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Solution

The third proportional to 1,233,149,859 and 1,781,688,594.75 is: 2,574,232,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,149,859 : 1,781,688,594.75 = 1,781,688,594.75 : x
  2. Step 2: Convert to fraction form
    1,233,149,859/1,781,688,594.75 = 1,781,688,594.75/x
  3. Step 3: Cross multiply
    1,233,149,859x = 1,781,688,594.75 × 1,781,688,594.75
  4. Step 4: Simplify right side
    1,233,149,859x = 3,174,414,248,662,229,504
  5. Step 5: Solve for x
    x = 3,174,414,248,662,229,504/1,233,149,859
  6. Step 6: Final answer
    x = 2,574,232,341.26

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Why These Related Problems?

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