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Finding the Third Proportional to 13,776,990,171,678 and 29,519,079,857,604

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Solution

The third proportional to 13,776,990,171,678 and 29,519,079,857,604 is: 63,248,653,354,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776,990,171,678 : 29,519,079,857,604 = 29,519,079,857,604 : x
  2. Step 2: Convert to fraction form
    13,776,990,171,678/29,519,079,857,604 = 29,519,079,857,604/x
  3. Step 3: Cross multiply
    13,776,990,171,678x = 29,519,079,857,604 × 29,519,079,857,604
  4. Step 4: Simplify right side
    13,776,990,171,678x = 871,376,075,639,602,132,541,243,392
  5. Step 5: Solve for x
    x = 871,376,075,639,602,132,541,243,392/13,776,990,171,678
  6. Step 6: Final answer
    x = 63,248,653,354,702.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.