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Finding the Third Proportional to 1,418,849,862 and 3,315,073,641

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Solution

The third proportional to 1,418,849,862 and 3,315,073,641 is: 7,745,508,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,849,862 : 3,315,073,641 = 3,315,073,641 : x
  2. Step 2: Convert to fraction form
    1,418,849,862/3,315,073,641 = 3,315,073,641/x
  3. Step 3: Cross multiply
    1,418,849,862x = 3,315,073,641 × 3,315,073,641
  4. Step 4: Simplify right side
    1,418,849,862x = 10,989,713,245,252,997,120
  5. Step 5: Solve for x
    x = 10,989,713,245,252,997,120/1,418,849,862
  6. Step 6: Final answer
    x = 7,745,508,203.22

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.