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Finding the Third Proportional to 872,605,560.75 and 1,389,159,271.13

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Solution

The third proportional to 872,605,560.75 and 1,389,159,271.13 is: 2,211,495,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,605,560.75 : 1,389,159,271.13 = 1,389,159,271.13 : x
  2. Step 2: Convert to fraction form
    872,605,560.75/1,389,159,271.13 = 1,389,159,271.13/x
  3. Step 3: Cross multiply
    872,605,560.75x = 1,389,159,271.13 × 1,389,159,271.13
  4. Step 4: Simplify right side
    872,605,560.75x = 1,929,763,480,552,541,184
  5. Step 5: Solve for x
    x = 1,929,763,480,552,541,184/872,605,560.75
  6. Step 6: Final answer
    x = 2,211,495,740.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.