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Finding the Third Proportional to 829,562,818 and 1,777,451,438

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Solution

The third proportional to 829,562,818 and 1,777,451,438 is: 3,808,432,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,562,818 : 1,777,451,438 = 1,777,451,438 : x
  2. Step 2: Convert to fraction form
    829,562,818/1,777,451,438 = 1,777,451,438/x
  3. Step 3: Cross multiply
    829,562,818x = 1,777,451,438 × 1,777,451,438
  4. Step 4: Simplify right side
    829,562,818x = 3,159,333,614,448,267,776
  5. Step 5: Solve for x
    x = 3,159,333,614,448,267,776/829,562,818
  6. Step 6: Final answer
    x = 3,808,432,039.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.