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Finding the Third Proportional to 1,963,164,228 and 4,295,739,486

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Solution

The third proportional to 1,963,164,228 and 4,295,739,486 is: 9,399,813,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963,164,228 : 4,295,739,486 = 4,295,739,486 : x
  2. Step 2: Convert to fraction form
    1,963,164,228/4,295,739,486 = 4,295,739,486/x
  3. Step 3: Cross multiply
    1,963,164,228x = 4,295,739,486 × 4,295,739,486
  4. Step 4: Simplify right side
    1,963,164,228x = 18,453,377,731,579,543,552
  5. Step 5: Solve for x
    x = 18,453,377,731,579,543,552/1,963,164,228
  6. Step 6: Final answer
    x = 9,399,813,560.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.