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Finding the Third Proportional to 302,842,936.69 and 658,829,973.38

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Solution

The third proportional to 302,842,936.69 and 658,829,973.38 is: 1,433,274,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,842,936.69 : 658,829,973.38 = 658,829,973.38 : x
  2. Step 2: Convert to fraction form
    302,842,936.69/658,829,973.38 = 658,829,973.38/x
  3. Step 3: Cross multiply
    302,842,936.69x = 658,829,973.38 × 658,829,973.38
  4. Step 4: Simplify right side
    302,842,936.69x = 434,056,933,817,303,232
  5. Step 5: Solve for x
    x = 434,056,933,817,303,232/302,842,936.69
  6. Step 6: Final answer
    x = 1,433,274,087.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.