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Finding the Third Proportional to 6,909,488,163 and 14,919,943,878

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Solution

The third proportional to 6,909,488,163 and 14,919,943,878 is: 32,217,252,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909,488,163 : 14,919,943,878 = 14,919,943,878 : x
  2. Step 2: Convert to fraction form
    6,909,488,163/14,919,943,878 = 14,919,943,878/x
  3. Step 3: Cross multiply
    6,909,488,163x = 14,919,943,878 × 14,919,943,878
  4. Step 4: Simplify right side
    6,909,488,163x = 222,604,725,322,669,686,784
  5. Step 5: Solve for x
    x = 222,604,725,322,669,686,784/6,909,488,163
  6. Step 6: Final answer
    x = 32,217,252,576.64

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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.