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Finding the Third Proportional to 402,145,110,348 and 599,730,310,098

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Solution

The third proportional to 402,145,110,348 and 599,730,310,098 is: 894,394,673,949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,145,110,348 : 599,730,310,098 = 599,730,310,098 : x
  2. Step 2: Convert to fraction form
    402,145,110,348/599,730,310,098 = 599,730,310,098/x
  3. Step 3: Cross multiply
    402,145,110,348x = 599,730,310,098 × 599,730,310,098
  4. Step 4: Simplify right side
    402,145,110,348x = 359,676,444,850,243,223,158,784
  5. Step 5: Solve for x
    x = 359,676,444,850,243,223,158,784/402,145,110,348
  6. Step 6: Final answer
    x = 894,394,673,949.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.