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Finding the Third Proportional to 13,815,998,822 and 21,223,064,423

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Solution

The third proportional to 13,815,998,822 and 21,223,064,423 is: 32,601,223,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815,998,822 : 21,223,064,423 = 21,223,064,423 : x
  2. Step 2: Convert to fraction form
    13,815,998,822/21,223,064,423 = 21,223,064,423/x
  3. Step 3: Cross multiply
    13,815,998,822x = 21,223,064,423 × 21,223,064,423
  4. Step 4: Simplify right side
    13,815,998,822x = 450,418,463,502,808,317,952
  5. Step 5: Solve for x
    x = 450,418,463,502,808,317,952/13,815,998,822
  6. Step 6: Final answer
    x = 32,601,223,357.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.