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Finding the Third Proportional to 3,140,881,330 and 4,650,677,916

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Solution

The third proportional to 3,140,881,330 and 4,650,677,916 is: 6,886,221,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,881,330 : 4,650,677,916 = 4,650,677,916 : x
  2. Step 2: Convert to fraction form
    3,140,881,330/4,650,677,916 = 4,650,677,916/x
  3. Step 3: Cross multiply
    3,140,881,330x = 4,650,677,916 × 4,650,677,916
  4. Step 4: Simplify right side
    3,140,881,330x = 21,628,805,078,370,103,296
  5. Step 5: Solve for x
    x = 21,628,805,078,370,103,296/3,140,881,330
  6. Step 6: Final answer
    x = 6,886,221,670.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.