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Finding the Third Proportional to 2,301,813,388 and 3,365,331,678

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Solution

The third proportional to 2,301,813,388 and 3,365,331,678 is: 4,920,232,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,813,388 : 3,365,331,678 = 3,365,331,678 : x
  2. Step 2: Convert to fraction form
    2,301,813,388/3,365,331,678 = 3,365,331,678/x
  3. Step 3: Cross multiply
    2,301,813,388x = 3,365,331,678 × 3,365,331,678
  4. Step 4: Simplify right side
    2,301,813,388x = 11,325,457,302,950,295,552
  5. Step 5: Solve for x
    x = 11,325,457,302,950,295,552/2,301,813,388
  6. Step 6: Final answer
    x = 4,920,232,613.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.