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Finding the Third Proportional to 1,917,364,120 and 4,130,918,992

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Solution

The third proportional to 1,917,364,120 and 4,130,918,992 is: 8,899,974,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917,364,120 : 4,130,918,992 = 4,130,918,992 : x
  2. Step 2: Convert to fraction form
    1,917,364,120/4,130,918,992 = 4,130,918,992/x
  3. Step 3: Cross multiply
    1,917,364,120x = 4,130,918,992 × 4,130,918,992
  4. Step 4: Simplify right side
    1,917,364,120x = 17,064,491,718,466,295,808
  5. Step 5: Solve for x
    x = 17,064,491,718,466,295,808/1,917,364,120
  6. Step 6: Final answer
    x = 8,899,974,470.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.