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Finding the Third Proportional to 376,966,705 and 821,808,624.50

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Solution

The third proportional to 376,966,705 and 821,808,624.50 is: 1,791,589,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,966,705 : 821,808,624.50 = 821,808,624.50 : x
  2. Step 2: Convert to fraction form
    376,966,705/821,808,624.50 = 821,808,624.50/x
  3. Step 3: Cross multiply
    376,966,705x = 821,808,624.50 × 821,808,624.50
  4. Step 4: Simplify right side
    376,966,705x = 675,369,415,302,582,016
  5. Step 5: Solve for x
    x = 675,369,415,302,582,016/376,966,705
  6. Step 6: Final answer
    x = 1,791,589,035.17

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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.