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Finding the Third Proportional to 843,827,950 and 1,817,260,458

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Solution

The third proportional to 843,827,950 and 1,817,260,458 is: 3,913,636,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,827,950 : 1,817,260,458 = 1,817,260,458 : x
  2. Step 2: Convert to fraction form
    843,827,950/1,817,260,458 = 1,817,260,458/x
  3. Step 3: Cross multiply
    843,827,950x = 1,817,260,458 × 1,817,260,458
  4. Step 4: Simplify right side
    843,827,950x = 3,302,435,572,210,369,536
  5. Step 5: Solve for x
    x = 3,302,435,572,210,369,536/843,827,950
  6. Step 6: Final answer
    x = 3,913,636,153.21

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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.