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Finding the Third Proportional to 459,599,535 and 983,096,532

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Solution

The third proportional to 459,599,535 and 983,096,532 is: 2,102,871,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,599,535 : 983,096,532 = 983,096,532 : x
  2. Step 2: Convert to fraction form
    459,599,535/983,096,532 = 983,096,532/x
  3. Step 3: Cross multiply
    459,599,535x = 983,096,532 × 983,096,532
  4. Step 4: Simplify right side
    459,599,535x = 966,478,791,230,427,008
  5. Step 5: Solve for x
    x = 966,478,791,230,427,008/459,599,535
  6. Step 6: Final answer
    x = 2,102,871,560.20

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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.