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Finding the Third Proportional to 14,626,938,290 and 22,282,629,219

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Solution

The third proportional to 14,626,938,290 and 22,282,629,219 is: 33,945,283,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,626,938,290 : 22,282,629,219 = 22,282,629,219 : x
  2. Step 2: Convert to fraction form
    14,626,938,290/22,282,629,219 = 22,282,629,219/x
  3. Step 3: Cross multiply
    14,626,938,290x = 22,282,629,219 × 22,282,629,219
  4. Step 4: Simplify right side
    14,626,938,290x = 496,515,564,911,432,564,736
  5. Step 5: Solve for x
    x = 496,515,564,911,432,564,736/14,626,938,290
  6. Step 6: Final answer
    x = 33,945,283,357.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.