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Finding the Third Proportional to 182,013,826 and 393,117,210

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Solution

The third proportional to 182,013,826 and 393,117,210 is: 849,062,646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,013,826 : 393,117,210 = 393,117,210 : x
  2. Step 2: Convert to fraction form
    182,013,826/393,117,210 = 393,117,210/x
  3. Step 3: Cross multiply
    182,013,826x = 393,117,210 × 393,117,210
  4. Step 4: Simplify right side
    182,013,826x = 154,541,140,798,184,096
  5. Step 5: Solve for x
    x = 154,541,140,798,184,096/182,013,826
  6. Step 6: Final answer
    x = 849,062,646.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.