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Finding the Third Proportional to 13,492,816,754,368 and 20,555,373,005,268

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Solution

The third proportional to 13,492,816,754,368 and 20,555,373,005,268 is: 31,314,688,925,047.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492,816,754,368 : 20,555,373,005,268 = 20,555,373,005,268 : x
  2. Step 2: Convert to fraction form
    13,492,816,754,368/20,555,373,005,268 = 20,555,373,005,268/x
  3. Step 3: Cross multiply
    13,492,816,754,368x = 20,555,373,005,268 × 20,555,373,005,268
  4. Step 4: Simplify right side
    13,492,816,754,368x = 422,523,359,385,700,411,411,267,584
  5. Step 5: Solve for x
    x = 422,523,359,385,700,411,411,267,584/13,492,816,754,368
  6. Step 6: Final answer
    x = 31,314,688,925,047.31

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