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Finding the Third Proportional to 1,108,868,289 and 2,385,916,927

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Solution

The third proportional to 1,108,868,289 and 2,385,916,927 is: 5,133,702,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108,868,289 : 2,385,916,927 = 2,385,916,927 : x
  2. Step 2: Convert to fraction form
    1,108,868,289/2,385,916,927 = 2,385,916,927/x
  3. Step 3: Cross multiply
    1,108,868,289x = 2,385,916,927 × 2,385,916,927
  4. Step 4: Simplify right side
    1,108,868,289x = 5,692,599,582,545,123,328
  5. Step 5: Solve for x
    x = 5,692,599,582,545,123,328/1,108,868,289
  6. Step 6: Final answer
    x = 5,133,702,207.03

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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.