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Finding the Third Proportional to 126,442,976,202 and 273,038,769,918

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Solution

The third proportional to 126,442,976,202 and 273,038,769,918 is: 589,595,184,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,442,976,202 : 273,038,769,918 = 273,038,769,918 : x
  2. Step 2: Convert to fraction form
    126,442,976,202/273,038,769,918 = 273,038,769,918/x
  3. Step 3: Cross multiply
    126,442,976,202x = 273,038,769,918 × 273,038,769,918
  4. Step 4: Simplify right side
    126,442,976,202x = 74,550,169,878,334,541,922,304
  5. Step 5: Solve for x
    x = 74,550,169,878,334,541,922,304/126,442,976,202
  6. Step 6: Final answer
    x = 589,595,184,466.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.