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Finding the Third Proportional to 792,673,996 and 1,657,623,968

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Solution

The third proportional to 792,673,996 and 1,657,623,968 is: 3,466,390,007.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,673,996 : 1,657,623,968 = 1,657,623,968 : x
  2. Step 2: Convert to fraction form
    792,673,996/1,657,623,968 = 1,657,623,968/x
  3. Step 3: Cross multiply
    792,673,996x = 1,657,623,968 × 1,657,623,968
  4. Step 4: Simplify right side
    792,673,996x = 2,747,717,219,288,065,024
  5. Step 5: Solve for x
    x = 2,747,717,219,288,065,024/792,673,996
  6. Step 6: Final answer
    x = 3,466,390,007.94

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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.