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Finding the Third Proportional to 474,715,678,800.75 and 1,018,344,095,019

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Solution

The third proportional to 474,715,678,800.75 and 1,018,344,095,019 is: 2,184,517,474,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,715,678,800.75 : 1,018,344,095,019 = 1,018,344,095,019 : x
  2. Step 2: Convert to fraction form
    474,715,678,800.75/1,018,344,095,019 = 1,018,344,095,019/x
  3. Step 3: Cross multiply
    474,715,678,800.75x = 1,018,344,095,019 × 1,018,344,095,019
  4. Step 4: Simplify right side
    474,715,678,800.75x = 1,037,024,695,860,066,154,184,704
  5. Step 5: Solve for x
    x = 1,037,024,695,860,066,154,184,704/474,715,678,800.75
  6. Step 6: Final answer
    x = 2,184,517,474,712.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.