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Finding the Third Proportional to 1,096,221,798 and 2,586,972,165.75

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Solution

The third proportional to 1,096,221,798 and 2,586,972,165.75 is: 6,104,991,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,221,798 : 2,586,972,165.75 = 2,586,972,165.75 : x
  2. Step 2: Convert to fraction form
    1,096,221,798/2,586,972,165.75 = 2,586,972,165.75/x
  3. Step 3: Cross multiply
    1,096,221,798x = 2,586,972,165.75 × 2,586,972,165.75
  4. Step 4: Simplify right side
    1,096,221,798x = 6,692,424,986,365,245,440
  5. Step 5: Solve for x
    x = 6,692,424,986,365,245,440/1,096,221,798
  6. Step 6: Final answer
    x = 6,104,991,707.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.