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Finding the Third Proportional to 417,636,092.81 and 869,573,638.69

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Solution

The third proportional to 417,636,092.81 and 869,573,638.69 is: 1,810,567,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,636,092.81 : 869,573,638.69 = 869,573,638.69 : x
  2. Step 2: Convert to fraction form
    417,636,092.81/869,573,638.69 = 869,573,638.69/x
  3. Step 3: Cross multiply
    417,636,092.81x = 869,573,638.69 × 869,573,638.69
  4. Step 4: Simplify right side
    417,636,092.81x = 756,158,313,100,218,752
  5. Step 5: Solve for x
    x = 756,158,313,100,218,752/417,636,092.81
  6. Step 6: Final answer
    x = 1,810,567,444.03

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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.