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Finding the Third Proportional to 2,464,620,709.50 and 5,480,295,435

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Solution

The third proportional to 2,464,620,709.50 and 5,480,295,435 is: 12,185,906,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464,620,709.50 : 5,480,295,435 = 5,480,295,435 : x
  2. Step 2: Convert to fraction form
    2,464,620,709.50/5,480,295,435 = 5,480,295,435/x
  3. Step 3: Cross multiply
    2,464,620,709.50x = 5,480,295,435 × 5,480,295,435
  4. Step 4: Simplify right side
    2,464,620,709.50x = 30,033,638,054,881,841,152
  5. Step 5: Solve for x
    x = 30,033,638,054,881,841,152/2,464,620,709.50
  6. Step 6: Final answer
    x = 12,185,906,715.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.