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Finding the Third Proportional to 468,011,648 and 1,014,115,072

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Solution

The third proportional to 468,011,648 and 1,014,115,072 is: 2,197,443,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,011,648 : 1,014,115,072 = 1,014,115,072 : x
  2. Step 2: Convert to fraction form
    468,011,648/1,014,115,072 = 1,014,115,072/x
  3. Step 3: Cross multiply
    468,011,648x = 1,014,115,072 × 1,014,115,072
  4. Step 4: Simplify right side
    468,011,648x = 1,028,429,379,257,565,184
  5. Step 5: Solve for x
    x = 1,028,429,379,257,565,184/468,011,648
  6. Step 6: Final answer
    x = 2,197,443,981.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.