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Finding the Third Proportional to 1,818,913,172 and 3,946,553,016

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Solution

The third proportional to 1,818,913,172 and 3,946,553,016 is: 8,562,959,985.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818,913,172 : 3,946,553,016 = 3,946,553,016 : x
  2. Step 2: Convert to fraction form
    1,818,913,172/3,946,553,016 = 3,946,553,016/x
  3. Step 3: Cross multiply
    1,818,913,172x = 3,946,553,016 × 3,946,553,016
  4. Step 4: Simplify right side
    1,818,913,172x = 15,575,280,708,098,697,216
  5. Step 5: Solve for x
    x = 15,575,280,708,098,697,216/1,818,913,172
  6. Step 6: Final answer
    x = 8,562,959,985.04

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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.