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Finding the Third Proportional to 400,943,848 and 637,987,110

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Solution

The third proportional to 400,943,848 and 637,987,110 is: 1,015,173,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,943,848 : 637,987,110 = 637,987,110 : x
  2. Step 2: Convert to fraction form
    400,943,848/637,987,110 = 637,987,110/x
  3. Step 3: Cross multiply
    400,943,848x = 637,987,110 × 637,987,110
  4. Step 4: Simplify right side
    400,943,848x = 407,027,552,526,152,128
  5. Step 5: Solve for x
    x = 407,027,552,526,152,128/400,943,848
  6. Step 6: Final answer
    x = 1,015,173,457.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.