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Finding the Third Proportional to 1,242,226,746 and 2,658,954,222

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Solution

The third proportional to 1,242,226,746 and 2,658,954,222 is: 5,691,422,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,226,746 : 2,658,954,222 = 2,658,954,222 : x
  2. Step 2: Convert to fraction form
    1,242,226,746/2,658,954,222 = 2,658,954,222/x
  3. Step 3: Cross multiply
    1,242,226,746x = 2,658,954,222 × 2,658,954,222
  4. Step 4: Simplify right side
    1,242,226,746x = 7,070,037,554,691,624,960
  5. Step 5: Solve for x
    x = 7,070,037,554,691,624,960/1,242,226,746
  6. Step 6: Final answer
    x = 5,691,422,743.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.