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Finding the Third Proportional to 52,625,151,656 and 113,637,839,808

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Solution

The third proportional to 52,625,151,656 and 113,637,839,808 is: 245,387,580,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,625,151,656 : 113,637,839,808 = 113,637,839,808 : x
  2. Step 2: Convert to fraction form
    52,625,151,656/113,637,839,808 = 113,637,839,808/x
  3. Step 3: Cross multiply
    52,625,151,656x = 113,637,839,808 × 113,637,839,808
  4. Step 4: Simplify right side
    52,625,151,656x = 12,913,558,636,228,669,079,552
  5. Step 5: Solve for x
    x = 12,913,558,636,228,669,079,552/52,625,151,656
  6. Step 6: Final answer
    x = 245,387,580,460.42

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Why These Related Problems?

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