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Finding the Third Proportional to 12,473,525,196 and 27,735,933,933

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Solution

The third proportional to 12,473,525,196 and 27,735,933,933 is: 61,673,185,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473,525,196 : 27,735,933,933 = 27,735,933,933 : x
  2. Step 2: Convert to fraction form
    12,473,525,196/27,735,933,933 = 27,735,933,933/x
  3. Step 3: Cross multiply
    12,473,525,196x = 27,735,933,933 × 27,735,933,933
  4. Step 4: Simplify right side
    12,473,525,196x = 769,282,031,135,740,788,736
  5. Step 5: Solve for x
    x = 769,282,031,135,740,788,736/12,473,525,196
  6. Step 6: Final answer
    x = 61,673,185,330.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.