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Finding the Third Proportional to 22,330,401,744 and 34,572,376,440

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Solution

The third proportional to 22,330,401,744 and 34,572,376,440 is: 53,525,647,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,330,401,744 : 34,572,376,440 = 34,572,376,440 : x
  2. Step 2: Convert to fraction form
    22,330,401,744/34,572,376,440 = 34,572,376,440/x
  3. Step 3: Cross multiply
    22,330,401,744x = 34,572,376,440 × 34,572,376,440
  4. Step 4: Simplify right side
    22,330,401,744x = 1,195,249,212,709,067,030,528
  5. Step 5: Solve for x
    x = 1,195,249,212,709,067,030,528/22,330,401,744
  6. Step 6: Final answer
    x = 53,525,647,519.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.