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Finding the Third Proportional to 1,163,832,306 and 2,540,987,994

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Solution

The third proportional to 1,163,832,306 and 2,540,987,994 is: 5,547,723,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,832,306 : 2,540,987,994 = 2,540,987,994 : x
  2. Step 2: Convert to fraction form
    1,163,832,306/2,540,987,994 = 2,540,987,994/x
  3. Step 3: Cross multiply
    1,163,832,306x = 2,540,987,994 × 2,540,987,994
  4. Step 4: Simplify right side
    1,163,832,306x = 6,456,619,985,652,144,128
  5. Step 5: Solve for x
    x = 6,456,619,985,652,144,128/1,163,832,306
  6. Step 6: Final answer
    x = 5,547,723,630.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.