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Finding the Third Proportional to 1,242,226,748 and 2,658,954,226

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Solution

The third proportional to 1,242,226,748 and 2,658,954,226 is: 5,691,422,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,226,748 : 2,658,954,226 = 2,658,954,226 : x
  2. Step 2: Convert to fraction form
    1,242,226,748/2,658,954,226 = 2,658,954,226/x
  3. Step 3: Cross multiply
    1,242,226,748x = 2,658,954,226 × 2,658,954,226
  4. Step 4: Simplify right side
    1,242,226,748x = 7,070,037,575,963,258,880
  5. Step 5: Solve for x
    x = 7,070,037,575,963,258,880/1,242,226,748
  6. Step 6: Final answer
    x = 5,691,422,751.40

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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.