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Finding the Third Proportional to 2,388,887,748 and 3,709,106,024

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Solution

The third proportional to 2,388,887,748 and 3,709,106,024 is: 5,758,942,632.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,887,748 : 3,709,106,024 = 3,709,106,024 : x
  2. Step 2: Convert to fraction form
    2,388,887,748/3,709,106,024 = 3,709,106,024/x
  3. Step 3: Cross multiply
    2,388,887,748x = 3,709,106,024 × 3,709,106,024
  4. Step 4: Simplify right side
    2,388,887,748x = 13,757,467,497,273,088,000
  5. Step 5: Solve for x
    x = 13,757,467,497,273,088,000/2,388,887,748
  6. Step 6: Final answer
    x = 5,758,942,632.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.