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Finding the Third Proportional to 324,829,780 and 533,243,886

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Solution

The third proportional to 324,829,780 and 533,243,886 is: 875,378,612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,829,780 : 533,243,886 = 533,243,886 : x
  2. Step 2: Convert to fraction form
    324,829,780/533,243,886 = 533,243,886/x
  3. Step 3: Cross multiply
    324,829,780x = 533,243,886 × 533,243,886
  4. Step 4: Simplify right side
    324,829,780x = 284,349,041,956,380,992
  5. Step 5: Solve for x
    x = 284,349,041,956,380,992/324,829,780
  6. Step 6: Final answer
    x = 875,378,612.01

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.