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Finding the Third Proportional to 4,474,681,442 and 6,221,686,878

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Solution

The third proportional to 4,474,681,442 and 6,221,686,878 is: 8,650,758,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474,681,442 : 6,221,686,878 = 6,221,686,878 : x
  2. Step 2: Convert to fraction form
    4,474,681,442/6,221,686,878 = 6,221,686,878/x
  3. Step 3: Cross multiply
    4,474,681,442x = 6,221,686,878 × 6,221,686,878
  4. Step 4: Simplify right side
    4,474,681,442x = 38,709,387,607,877,386,240
  5. Step 5: Solve for x
    x = 38,709,387,607,877,386,240/4,474,681,442
  6. Step 6: Final answer
    x = 8,650,758,296.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.