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Finding the Third Proportional to 2,039,090,340 and 4,391,938,463

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Solution

The third proportional to 2,039,090,340 and 4,391,938,463 is: 9,459,670,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,090,340 : 4,391,938,463 = 4,391,938,463 : x
  2. Step 2: Convert to fraction form
    2,039,090,340/4,391,938,463 = 4,391,938,463/x
  3. Step 3: Cross multiply
    2,039,090,340x = 4,391,938,463 × 4,391,938,463
  4. Step 4: Simplify right side
    2,039,090,340x = 19,289,123,462,778,802,176
  5. Step 5: Solve for x
    x = 19,289,123,462,778,802,176/2,039,090,340
  6. Step 6: Final answer
    x = 9,459,670,856.36

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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.