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Finding the Third Proportional to 4,941,030 and 10,706,820

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Solution

The third proportional to 4,941,030 and 10,706,820 is: 23,200,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941,030 : 10,706,820 = 10,706,820 : x
  2. Step 2: Convert to fraction form
    4,941,030/10,706,820 = 10,706,820/x
  3. Step 3: Cross multiply
    4,941,030x = 10,706,820 × 10,706,820
  4. Step 4: Simplify right side
    4,941,030x = 114,635,994,512,400
  5. Step 5: Solve for x
    x = 114,635,994,512,400/4,941,030
  6. Step 6: Final answer
    x = 23,200,829.49

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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.