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Finding the Third Proportional to 6,453,095,880 and 13,886,849,736

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Solution

The third proportional to 6,453,095,880 and 13,886,849,736 is: 29,884,043,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453,095,880 : 13,886,849,736 = 13,886,849,736 : x
  2. Step 2: Convert to fraction form
    6,453,095,880/13,886,849,736 = 13,886,849,736/x
  3. Step 3: Cross multiply
    6,453,095,880x = 13,886,849,736 × 13,886,849,736
  4. Step 4: Simplify right side
    6,453,095,880x = 192,844,595,590,243,254,272
  5. Step 5: Solve for x
    x = 192,844,595,590,243,254,272/6,453,095,880
  6. Step 6: Final answer
    x = 29,884,043,128.50

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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.