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Finding the Third Proportional to 1,153,120,633 and 1,722,124,641

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Solution

The third proportional to 1,153,120,633 and 1,722,124,641 is: 2,571,902,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,120,633 : 1,722,124,641 = 1,722,124,641 : x
  2. Step 2: Convert to fraction form
    1,153,120,633/1,722,124,641 = 1,722,124,641/x
  3. Step 3: Cross multiply
    1,153,120,633x = 1,722,124,641 × 1,722,124,641
  4. Step 4: Simplify right side
    1,153,120,633x = 2,965,713,279,139,378,688
  5. Step 5: Solve for x
    x = 2,965,713,279,139,378,688/1,153,120,633
  6. Step 6: Final answer
    x = 2,571,902,014.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.