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Finding the Third Proportional to 792,674,006 and 1,657,623,988

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Solution

The third proportional to 792,674,006 and 1,657,623,988 is: 3,466,390,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,674,006 : 1,657,623,988 = 1,657,623,988 : x
  2. Step 2: Convert to fraction form
    792,674,006/1,657,623,988 = 1,657,623,988/x
  3. Step 3: Cross multiply
    792,674,006x = 1,657,623,988 × 1,657,623,988
  4. Step 4: Simplify right side
    792,674,006x = 2,747,717,285,593,024,000
  5. Step 5: Solve for x
    x = 2,747,717,285,593,024,000/792,674,006
  6. Step 6: Final answer
    x = 3,466,390,047.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.