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Finding the Third Proportional to 4,107,048,984 and 8,966,706,120

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Solution

The third proportional to 4,107,048,984 and 8,966,706,120 is: 19,576,542,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,048,984 : 8,966,706,120 = 8,966,706,120 : x
  2. Step 2: Convert to fraction form
    4,107,048,984/8,966,706,120 = 8,966,706,120/x
  3. Step 3: Cross multiply
    4,107,048,984x = 8,966,706,120 × 8,966,706,120
  4. Step 4: Simplify right side
    4,107,048,984x = 80,401,818,642,445,451,264
  5. Step 5: Solve for x
    x = 80,401,818,642,445,451,264/4,107,048,984
  6. Step 6: Final answer
    x = 19,576,542,416.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.