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Finding the Third Proportional to 30,715,198,944 and 45,871,524,324

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Solution

The third proportional to 30,715,198,944 and 45,871,524,324 is: 68,506,694,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715,198,944 : 45,871,524,324 = 45,871,524,324 : x
  2. Step 2: Convert to fraction form
    30,715,198,944/45,871,524,324 = 45,871,524,324/x
  3. Step 3: Cross multiply
    30,715,198,944x = 45,871,524,324 × 45,871,524,324
  4. Step 4: Simplify right side
    30,715,198,944x = 2,104,196,743,807,323,602,944
  5. Step 5: Solve for x
    x = 2,104,196,743,807,323,602,944/30,715,198,944
  6. Step 6: Final answer
    x = 68,506,694,280.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.