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Finding the Third Proportional to 814,885,371 and 1,765,146,532.50

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Solution

The third proportional to 814,885,371 and 1,765,146,532.50 is: 3,823,534,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,885,371 : 1,765,146,532.50 = 1,765,146,532.50 : x
  2. Step 2: Convert to fraction form
    814,885,371/1,765,146,532.50 = 1,765,146,532.50/x
  3. Step 3: Cross multiply
    814,885,371x = 1,765,146,532.50 × 1,765,146,532.50
  4. Step 4: Simplify right side
    814,885,371x = 3,115,742,281,196,773,376
  5. Step 5: Solve for x
    x = 3,115,742,281,196,773,376/814,885,371
  6. Step 6: Final answer
    x = 3,823,534,440.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.