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Finding the Third Proportional to 821,257,504 and 1,710,447,440

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Solution

The third proportional to 821,257,504 and 1,710,447,440 is: 3,562,378,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,257,504 : 1,710,447,440 = 1,710,447,440 : x
  2. Step 2: Convert to fraction form
    821,257,504/1,710,447,440 = 1,710,447,440/x
  3. Step 3: Cross multiply
    821,257,504x = 1,710,447,440 × 1,710,447,440
  4. Step 4: Simplify right side
    821,257,504x = 2,925,630,445,002,553,344
  5. Step 5: Solve for x
    x = 2,925,630,445,002,553,344/821,257,504
  6. Step 6: Final answer
    x = 3,562,378,950.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.