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Finding the Third Proportional to 2,164,514,502 and 3,346,171,110

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Solution

The third proportional to 2,164,514,502 and 3,346,171,110 is: 5,172,920,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,514,502 : 3,346,171,110 = 3,346,171,110 : x
  2. Step 2: Convert to fraction form
    2,164,514,502/3,346,171,110 = 3,346,171,110/x
  3. Step 3: Cross multiply
    2,164,514,502x = 3,346,171,110 × 3,346,171,110
  4. Step 4: Simplify right side
    2,164,514,502x = 11,196,861,097,398,632,448
  5. Step 5: Solve for x
    x = 11,196,861,097,398,632,448/2,164,514,502
  6. Step 6: Final answer
    x = 5,172,920,341.75

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