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Finding the Third Proportional to 9,855,659,434,596 and 14,488,256,578,926

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Solution

The third proportional to 9,855,659,434,596 and 14,488,256,578,926 is: 21,298,379,889,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855,659,434,596 : 14,488,256,578,926 = 14,488,256,578,926 : x
  2. Step 2: Convert to fraction form
    9,855,659,434,596/14,488,256,578,926 = 14,488,256,578,926/x
  3. Step 3: Cross multiply
    9,855,659,434,596x = 14,488,256,578,926 × 14,488,256,578,926
  4. Step 4: Simplify right side
    9,855,659,434,596x = 209,909,578,696,792,507,993,292,800
  5. Step 5: Solve for x
    x = 209,909,578,696,792,507,993,292,800/9,855,659,434,596
  6. Step 6: Final answer
    x = 21,298,379,889,219.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.