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Finding the Third Proportional to 3,946,712,468 and 8,775,843,958

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Solution

The third proportional to 3,946,712,468 and 8,775,843,958 is: 19,513,820,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946,712,468 : 8,775,843,958 = 8,775,843,958 : x
  2. Step 2: Convert to fraction form
    3,946,712,468/8,775,843,958 = 8,775,843,958/x
  3. Step 3: Cross multiply
    3,946,712,468x = 8,775,843,958 × 8,775,843,958
  4. Step 4: Simplify right side
    3,946,712,468x = 77,015,437,175,165,108,224
  5. Step 5: Solve for x
    x = 77,015,437,175,165,108,224/3,946,712,468
  6. Step 6: Final answer
    x = 19,513,820,122.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.