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Finding the Third Proportional to 825,173,034 and 1,248,389,775

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Solution

The third proportional to 825,173,034 and 1,248,389,775 is: 1,888,666,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,173,034 : 1,248,389,775 = 1,248,389,775 : x
  2. Step 2: Convert to fraction form
    825,173,034/1,248,389,775 = 1,248,389,775/x
  3. Step 3: Cross multiply
    825,173,034x = 1,248,389,775 × 1,248,389,775
  4. Step 4: Simplify right side
    825,173,034x = 1,558,477,030,324,550,656
  5. Step 5: Solve for x
    x = 1,558,477,030,324,550,656/825,173,034
  6. Step 6: Final answer
    x = 1,888,666,941.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.