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Finding the Third Proportional to 2,258,221,344 and 4,891,689,240

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Solution

The third proportional to 2,258,221,344 and 4,891,689,240 is: 10,596,225,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,221,344 : 4,891,689,240 = 4,891,689,240 : x
  2. Step 2: Convert to fraction form
    2,258,221,344/4,891,689,240 = 4,891,689,240/x
  3. Step 3: Cross multiply
    2,258,221,344x = 4,891,689,240 × 4,891,689,240
  4. Step 4: Simplify right side
    2,258,221,344x = 23,928,623,620,731,777,024
  5. Step 5: Solve for x
    x = 23,928,623,620,731,777,024/2,258,221,344
  6. Step 6: Final answer
    x = 10,596,225,956.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.