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Finding the Third Proportional to 792,674,004 and 1,657,623,984

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Solution

The third proportional to 792,674,004 and 1,657,623,984 is: 3,466,390,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,674,004 : 1,657,623,984 = 1,657,623,984 : x
  2. Step 2: Convert to fraction form
    792,674,004/1,657,623,984 = 1,657,623,984/x
  3. Step 3: Cross multiply
    792,674,004x = 1,657,623,984 × 1,657,623,984
  4. Step 4: Simplify right side
    792,674,004x = 2,747,717,272,332,032,000
  5. Step 5: Solve for x
    x = 2,747,717,272,332,032,000/792,674,004
  6. Step 6: Final answer
    x = 3,466,390,039.87

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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.