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Finding the Third Proportional to 9,917,877,634 and 21,579,070,962

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Solution

The third proportional to 9,917,877,634 and 21,579,070,962 is: 46,951,204,760.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917,877,634 : 21,579,070,962 = 21,579,070,962 : x
  2. Step 2: Convert to fraction form
    9,917,877,634/21,579,070,962 = 21,579,070,962/x
  3. Step 3: Cross multiply
    9,917,877,634x = 21,579,070,962 × 21,579,070,962
  4. Step 4: Simplify right side
    9,917,877,634x = 465,656,303,583,031,590,912
  5. Step 5: Solve for x
    x = 465,656,303,583,031,590,912/9,917,877,634
  6. Step 6: Final answer
    x = 46,951,204,760.45

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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.