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Finding the Third Proportional to 1,090,996,291 and 1,663,733,247

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Solution

The third proportional to 1,090,996,291 and 1,663,733,247 is: 2,537,138,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090,996,291 : 1,663,733,247 = 1,663,733,247 : x
  2. Step 2: Convert to fraction form
    1,090,996,291/1,663,733,247 = 1,663,733,247/x
  3. Step 3: Cross multiply
    1,090,996,291x = 1,663,733,247 × 1,663,733,247
  4. Step 4: Simplify right side
    1,090,996,291x = 2,768,008,317,173,163,008
  5. Step 5: Solve for x
    x = 2,768,008,317,173,163,008/1,090,996,291
  6. Step 6: Final answer
    x = 2,537,138,155.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.