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Finding the Third Proportional to 821,257,524 and 1,710,447,480

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Solution

The third proportional to 821,257,524 and 1,710,447,480 is: 3,562,379,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,257,524 : 1,710,447,480 = 1,710,447,480 : x
  2. Step 2: Convert to fraction form
    821,257,524/1,710,447,480 = 1,710,447,480/x
  3. Step 3: Cross multiply
    821,257,524x = 1,710,447,480 × 1,710,447,480
  4. Step 4: Simplify right side
    821,257,524x = 2,925,630,581,838,350,336
  5. Step 5: Solve for x
    x = 2,925,630,581,838,350,336/821,257,524
  6. Step 6: Final answer
    x = 3,562,379,030.14

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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.