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Finding the Third Proportional to 6,444,529,560 and 13,880,688,660

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Solution

The third proportional to 6,444,529,560 and 13,880,688,660 is: 29,897,219,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444,529,560 : 13,880,688,660 = 13,880,688,660 : x
  2. Step 2: Convert to fraction form
    6,444,529,560/13,880,688,660 = 13,880,688,660/x
  3. Step 3: Cross multiply
    6,444,529,560x = 13,880,688,660 × 13,880,688,660
  4. Step 4: Simplify right side
    6,444,529,560x = 192,673,517,675,852,595,200
  5. Step 5: Solve for x
    x = 192,673,517,675,852,595,200/6,444,529,560
  6. Step 6: Final answer
    x = 29,897,219,941.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.