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Finding the Third Proportional to 459,599,540 and 983,096,540

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Solution

The third proportional to 459,599,540 and 983,096,540 is: 2,102,871,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,599,540 : 983,096,540 = 983,096,540 : x
  2. Step 2: Convert to fraction form
    459,599,540/983,096,540 = 983,096,540/x
  3. Step 3: Cross multiply
    459,599,540x = 983,096,540 × 983,096,540
  4. Step 4: Simplify right side
    459,599,540x = 966,478,806,959,971,584
  5. Step 5: Solve for x
    x = 966,478,806,959,971,584/459,599,540
  6. Step 6: Final answer
    x = 2,102,871,571.54

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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.