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Finding the Third Proportional to 1,023,627,877 and 2,210,362,058

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Solution

The third proportional to 1,023,627,877 and 2,210,362,058 is: 4,772,926,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,627,877 : 2,210,362,058 = 2,210,362,058 : x
  2. Step 2: Convert to fraction form
    1,023,627,877/2,210,362,058 = 2,210,362,058/x
  3. Step 3: Cross multiply
    1,023,627,877x = 2,210,362,058 × 2,210,362,058
  4. Step 4: Simplify right side
    1,023,627,877x = 4,885,700,427,445,995,520
  5. Step 5: Solve for x
    x = 4,885,700,427,445,995,520/1,023,627,877
  6. Step 6: Final answer
    x = 4,772,926,311.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.