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Finding the Third Proportional to 821,257,508 and 1,710,447,448

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Solution

The third proportional to 821,257,508 and 1,710,447,448 is: 3,562,378,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,257,508 : 1,710,447,448 = 1,710,447,448 : x
  2. Step 2: Convert to fraction form
    821,257,508/1,710,447,448 = 1,710,447,448/x
  3. Step 3: Cross multiply
    821,257,508x = 1,710,447,448 × 1,710,447,448
  4. Step 4: Simplify right side
    821,257,508x = 2,925,630,472,369,712,640
  5. Step 5: Solve for x
    x = 2,925,630,472,369,712,640/821,257,508
  6. Step 6: Final answer
    x = 3,562,378,966.24

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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.