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Finding the Third Proportional to 229,565,962,728 and 497,331,623,515.50

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Solution

The third proportional to 229,565,962,728 and 497,331,623,515.50 is: 1,077,419,059,904.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,565,962,728 : 497,331,623,515.50 = 497,331,623,515.50 : x
  2. Step 2: Convert to fraction form
    229,565,962,728/497,331,623,515.50 = 497,331,623,515.50/x
  3. Step 3: Cross multiply
    229,565,962,728x = 497,331,623,515.50 × 497,331,623,515.50
  4. Step 4: Simplify right side
    229,565,962,728x = 247,338,743,748,563,029,721,088
  5. Step 5: Solve for x
    x = 247,338,743,748,563,029,721,088/229,565,962,728
  6. Step 6: Final answer
    x = 1,077,419,059,904.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.