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Finding the Third Proportional to 4,734,019,341 and 10,292,043,789

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Solution

The third proportional to 4,734,019,341 and 10,292,043,789 is: 22,375,524,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,019,341 : 10,292,043,789 = 10,292,043,789 : x
  2. Step 2: Convert to fraction form
    4,734,019,341/10,292,043,789 = 10,292,043,789/x
  3. Step 3: Cross multiply
    4,734,019,341x = 10,292,043,789 × 10,292,043,789
  4. Step 4: Simplify right side
    4,734,019,341x = 105,926,165,354,693,476,352
  5. Step 5: Solve for x
    x = 105,926,165,354,693,476,352/4,734,019,341
  6. Step 6: Final answer
    x = 22,375,524,416.92

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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.