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Finding the Third Proportional to 346,539,784 and 817,229,780

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Solution

The third proportional to 346,539,784 and 817,229,780 is: 1,927,237,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,539,784 : 817,229,780 = 817,229,780 : x
  2. Step 2: Convert to fraction form
    346,539,784/817,229,780 = 817,229,780/x
  3. Step 3: Cross multiply
    346,539,784x = 817,229,780 × 817,229,780
  4. Step 4: Simplify right side
    346,539,784x = 667,864,513,318,848,384
  5. Step 5: Solve for x
    x = 667,864,513,318,848,384/346,539,784
  6. Step 6: Final answer
    x = 1,927,237,633.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.