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Finding the Third Proportional to 14,098,854,953 and 21,329,909,771

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Solution

The third proportional to 14,098,854,953 and 21,329,909,771 is: 32,269,645,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098,854,953 : 21,329,909,771 = 21,329,909,771 : x
  2. Step 2: Convert to fraction form
    14,098,854,953/21,329,909,771 = 21,329,909,771/x
  3. Step 3: Cross multiply
    14,098,854,953x = 21,329,909,771 × 21,329,909,771
  4. Step 4: Simplify right side
    14,098,854,953x = 454,965,050,839,001,268,224
  5. Step 5: Solve for x
    x = 454,965,050,839,001,268,224/14,098,854,953
  6. Step 6: Final answer
    x = 32,269,645,468.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.