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Finding the Third Proportional to 925,686,328 and 1,976,914,506

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Solution

The third proportional to 925,686,328 and 1,976,914,506 is: 4,221,938,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,686,328 : 1,976,914,506 = 1,976,914,506 : x
  2. Step 2: Convert to fraction form
    925,686,328/1,976,914,506 = 1,976,914,506/x
  3. Step 3: Cross multiply
    925,686,328x = 1,976,914,506 × 1,976,914,506
  4. Step 4: Simplify right side
    925,686,328x = 3,908,190,964,033,224,192
  5. Step 5: Solve for x
    x = 3,908,190,964,033,224,192/925,686,328
  6. Step 6: Final answer
    x = 4,221,938,734.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.