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Finding the Third Proportional to 644,644,271 and 1,381,194,484

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Solution

The third proportional to 644,644,271 and 1,381,194,484 is: 2,959,303,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,644,271 : 1,381,194,484 = 1,381,194,484 : x
  2. Step 2: Convert to fraction form
    644,644,271/1,381,194,484 = 1,381,194,484/x
  3. Step 3: Cross multiply
    644,644,271x = 1,381,194,484 × 1,381,194,484
  4. Step 4: Simplify right side
    644,644,271x = 1,907,698,202,632,026,368
  5. Step 5: Solve for x
    x = 1,907,698,202,632,026,368/644,644,271
  6. Step 6: Final answer
    x = 2,959,303,740.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.