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Finding the Third Proportional to 36,547,768 and 81,265,276

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Solution

The third proportional to 36,547,768 and 81,265,276 is: 180,696,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,547,768 : 81,265,276 = 81,265,276 : x
  2. Step 2: Convert to fraction form
    36,547,768/81,265,276 = 81,265,276/x
  3. Step 3: Cross multiply
    36,547,768x = 81,265,276 × 81,265,276
  4. Step 4: Simplify right side
    36,547,768x = 6,604,045,083,356,176
  5. Step 5: Solve for x
    x = 6,604,045,083,356,176/36,547,768
  6. Step 6: Final answer
    x = 180,696,262.58

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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.