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Finding the Third Proportional to 6,453,095,883 and 13,886,849,742

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Solution

The third proportional to 6,453,095,883 and 13,886,849,742 is: 29,884,043,140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453,095,883 : 13,886,849,742 = 13,886,849,742 : x
  2. Step 2: Convert to fraction form
    6,453,095,883/13,886,849,742 = 13,886,849,742/x
  3. Step 3: Cross multiply
    6,453,095,883x = 13,886,849,742 × 13,886,849,742
  4. Step 4: Simplify right side
    6,453,095,883x = 192,844,595,756,885,475,328
  5. Step 5: Solve for x
    x = 192,844,595,756,885,475,328/6,453,095,883
  6. Step 6: Final answer
    x = 29,884,043,140.43

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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.