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Finding the Third Proportional to 4,964,271.75 and 10,712,790

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Solution

The third proportional to 4,964,271.75 and 10,712,790 is: 23,117,966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964,271.75 : 10,712,790 = 10,712,790 : x
  2. Step 2: Convert to fraction form
    4,964,271.75/10,712,790 = 10,712,790/x
  3. Step 3: Cross multiply
    4,964,271.75x = 10,712,790 × 10,712,790
  4. Step 4: Simplify right side
    4,964,271.75x = 114,763,869,584,100
  5. Step 5: Solve for x
    x = 114,763,869,584,100/4,964,271.75
  6. Step 6: Final answer
    x = 23,117,966.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.