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Finding the Third Proportional to 6,141,671,742 and 13,261,992,085.50

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Solution

The third proportional to 6,141,671,742 and 13,261,992,085.50 is: 28,637,224,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141,671,742 : 13,261,992,085.50 = 13,261,992,085.50 : x
  2. Step 2: Convert to fraction form
    6,141,671,742/13,261,992,085.50 = 13,261,992,085.50/x
  3. Step 3: Cross multiply
    6,141,671,742x = 13,261,992,085.50 × 13,261,992,085.50
  4. Step 4: Simplify right side
    6,141,671,742x = 175,880,434,075,864,629,248
  5. Step 5: Solve for x
    x = 175,880,434,075,864,629,248/6,141,671,742
  6. Step 6: Final answer
    x = 28,637,224,759.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.