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Finding the Third Proportional to 564,436,300,620.36 and 862,851,584,295

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Solution

The third proportional to 564,436,300,620.36 and 862,851,584,295 is: 1,319,037,871,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,436,300,620.36 : 862,851,584,295 = 862,851,584,295 : x
  2. Step 2: Convert to fraction form
    564,436,300,620.36/862,851,584,295 = 862,851,584,295/x
  3. Step 3: Cross multiply
    564,436,300,620.36x = 862,851,584,295 × 862,851,584,295
  4. Step 4: Simplify right side
    564,436,300,620.36x = 744,512,856,520,391,512,817,664
  5. Step 5: Solve for x
    x = 744,512,856,520,391,512,817,664/564,436,300,620.36
  6. Step 6: Final answer
    x = 1,319,037,871,416.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.