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Finding the Third Proportional to 4,734,143,476 and 10,292,289,928

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Solution

The third proportional to 4,734,143,476 and 10,292,289,928 is: 22,376,007,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,143,476 : 10,292,289,928 = 10,292,289,928 : x
  2. Step 2: Convert to fraction form
    4,734,143,476/10,292,289,928 = 10,292,289,928/x
  3. Step 3: Cross multiply
    4,734,143,476x = 10,292,289,928 × 10,292,289,928
  4. Step 4: Simplify right side
    4,734,143,476x = 105,931,231,962,010,238,976
  5. Step 5: Solve for x
    x = 105,931,231,962,010,238,976/4,734,143,476
  6. Step 6: Final answer
    x = 22,376,007,930.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.