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Finding the Third Proportional to 3,270,772,820 and 7,133,521,090

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Solution

The third proportional to 3,270,772,820 and 7,133,521,090 is: 15,558,134,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,772,820 : 7,133,521,090 = 7,133,521,090 : x
  2. Step 2: Convert to fraction form
    3,270,772,820/7,133,521,090 = 7,133,521,090/x
  3. Step 3: Cross multiply
    3,270,772,820x = 7,133,521,090 × 7,133,521,090
  4. Step 4: Simplify right side
    3,270,772,820x = 50,887,123,141,474,787,328
  5. Step 5: Solve for x
    x = 50,887,123,141,474,787,328/3,270,772,820
  6. Step 6: Final answer
    x = 15,558,134,404.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.