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Finding the Third Proportional to 1,349,011,056 and 3,008,203,294

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Solution

The third proportional to 1,349,011,056 and 3,008,203,294 is: 6,708,089,617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349,011,056 : 3,008,203,294 = 3,008,203,294 : x
  2. Step 2: Convert to fraction form
    1,349,011,056/3,008,203,294 = 3,008,203,294/x
  3. Step 3: Cross multiply
    1,349,011,056x = 3,008,203,294 × 3,008,203,294
  4. Step 4: Simplify right side
    1,349,011,056x = 9,049,287,058,032,450,560
  5. Step 5: Solve for x
    x = 9,049,287,058,032,450,560/1,349,011,056
  6. Step 6: Final answer
    x = 6,708,089,617.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.