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Finding the Third Proportional to 843,827,964 and 1,817,260,494

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Solution

The third proportional to 843,827,964 and 1,817,260,494 is: 3,913,636,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,827,964 : 1,817,260,494 = 1,817,260,494 : x
  2. Step 2: Convert to fraction form
    843,827,964/1,817,260,494 = 1,817,260,494/x
  3. Step 3: Cross multiply
    843,827,964x = 1,817,260,494 × 1,817,260,494
  4. Step 4: Simplify right side
    843,827,964x = 3,302,435,703,053,124,096
  5. Step 5: Solve for x
    x = 3,302,435,703,053,124,096/843,827,964
  6. Step 6: Final answer
    x = 3,913,636,243.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.