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Finding the Third Proportional to 828,151,173 and 1,772,636,166

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Solution

The third proportional to 828,151,173 and 1,772,636,166 is: 3,794,281,864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,151,173 : 1,772,636,166 = 1,772,636,166 : x
  2. Step 2: Convert to fraction form
    828,151,173/1,772,636,166 = 1,772,636,166/x
  3. Step 3: Cross multiply
    828,151,173x = 1,772,636,166 × 1,772,636,166
  4. Step 4: Simplify right side
    828,151,173x = 3,142,238,977,011,179,520
  5. Step 5: Solve for x
    x = 3,142,238,977,011,179,520/828,151,173
  6. Step 6: Final answer
    x = 3,794,281,864.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.