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Finding the Third Proportional to 883,380,603 and 1,913,983,323

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Solution

The third proportional to 883,380,603 and 1,913,983,323 is: 4,146,946,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,380,603 : 1,913,983,323 = 1,913,983,323 : x
  2. Step 2: Convert to fraction form
    883,380,603/1,913,983,323 = 1,913,983,323/x
  3. Step 3: Cross multiply
    883,380,603x = 1,913,983,323 × 1,913,983,323
  4. Step 4: Simplify right side
    883,380,603x = 3,663,332,160,722,122,240
  5. Step 5: Solve for x
    x = 3,663,332,160,722,122,240/883,380,603
  6. Step 6: Final answer
    x = 4,146,946,568.99

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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.