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Finding the Third Proportional to 4,734,143,470 and 10,292,289,916

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Solution

The third proportional to 4,734,143,470 and 10,292,289,916 is: 22,376,007,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734,143,470 : 10,292,289,916 = 10,292,289,916 : x
  2. Step 2: Convert to fraction form
    4,734,143,470/10,292,289,916 = 10,292,289,916/x
  3. Step 3: Cross multiply
    4,734,143,470x = 10,292,289,916 × 10,292,289,916
  4. Step 4: Simplify right side
    4,734,143,470x = 105,931,231,714,995,290,112
  5. Step 5: Solve for x
    x = 105,931,231,714,995,290,112/4,734,143,470
  6. Step 6: Final answer
    x = 22,376,007,906.45

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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.