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Finding the Third Proportional to 1,054,648,026 and 2,228,870,034

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Solution

The third proportional to 1,054,648,026 and 2,228,870,034 is: 4,710,445,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,648,026 : 2,228,870,034 = 2,228,870,034 : x
  2. Step 2: Convert to fraction form
    1,054,648,026/2,228,870,034 = 2,228,870,034/x
  3. Step 3: Cross multiply
    1,054,648,026x = 2,228,870,034 × 2,228,870,034
  4. Step 4: Simplify right side
    1,054,648,026x = 4,967,861,628,463,161,344
  5. Step 5: Solve for x
    x = 4,967,861,628,463,161,344/1,054,648,026
  6. Step 6: Final answer
    x = 4,710,445,102.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.