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Finding the Third Proportional to 753,933,410 and 1,643,617,249

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Solution

The third proportional to 753,933,410 and 1,643,617,249 is: 3,583,178,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,933,410 : 1,643,617,249 = 1,643,617,249 : x
  2. Step 2: Convert to fraction form
    753,933,410/1,643,617,249 = 1,643,617,249/x
  3. Step 3: Cross multiply
    753,933,410x = 1,643,617,249 × 1,643,617,249
  4. Step 4: Simplify right side
    753,933,410x = 2,701,477,661,210,328,064
  5. Step 5: Solve for x
    x = 2,701,477,661,210,328,064/753,933,410
  6. Step 6: Final answer
    x = 3,583,178,070.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.