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Finding the Third Proportional to 1,071,773,190 and 2,321,641,916

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Solution

The third proportional to 1,071,773,190 and 2,321,641,916 is: 5,029,068,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,773,190 : 2,321,641,916 = 2,321,641,916 : x
  2. Step 2: Convert to fraction form
    1,071,773,190/2,321,641,916 = 2,321,641,916/x
  3. Step 3: Cross multiply
    1,071,773,190x = 2,321,641,916 × 2,321,641,916
  4. Step 4: Simplify right side
    1,071,773,190x = 5,390,021,186,128,151,552
  5. Step 5: Solve for x
    x = 5,390,021,186,128,151,552/1,071,773,190
  6. Step 6: Final answer
    x = 5,029,068,870.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.