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Finding the Third Proportional to 220,676,562 and 476,457,996

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Solution

The third proportional to 220,676,562 and 476,457,996 is: 1,028,710,162.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,676,562 : 476,457,996 = 476,457,996 : x
  2. Step 2: Convert to fraction form
    220,676,562/476,457,996 = 476,457,996/x
  3. Step 3: Cross multiply
    220,676,562x = 476,457,996 × 476,457,996
  4. Step 4: Simplify right side
    220,676,562x = 227,012,221,952,336,000
  5. Step 5: Solve for x
    x = 227,012,221,952,336,000/220,676,562
  6. Step 6: Final answer
    x = 1,028,710,162.49

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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.