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Finding the Third Proportional to 22,076,104,653,578 and 48,039,537,771,796

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Solution

The third proportional to 22,076,104,653,578 and 48,039,537,771,796 is: 104,538,242,844,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076,104,653,578 : 48,039,537,771,796 = 48,039,537,771,796 : x
  2. Step 2: Convert to fraction form
    22,076,104,653,578/48,039,537,771,796 = 48,039,537,771,796/x
  3. Step 3: Cross multiply
    22,076,104,653,578x = 48,039,537,771,796 × 48,039,537,771,796
  4. Step 4: Simplify right side
    22,076,104,653,578x = 2,307,797,189,327,814,604,812,713,984
  5. Step 5: Solve for x
    x = 2,307,797,189,327,814,604,812,713,984/22,076,104,653,578
  6. Step 6: Final answer
    x = 104,538,242,844,114.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.