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Finding the Third Proportional to 293,025,383,480 and 634,731,227,574

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Solution

The third proportional to 293,025,383,480 and 634,731,227,574 is: 1,374,910,686,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,025,383,480 : 634,731,227,574 = 634,731,227,574 : x
  2. Step 2: Convert to fraction form
    293,025,383,480/634,731,227,574 = 634,731,227,574/x
  3. Step 3: Cross multiply
    293,025,383,480x = 634,731,227,574 × 634,731,227,574
  4. Step 4: Simplify right side
    293,025,383,480x = 402,883,731,257,596,972,105,728
  5. Step 5: Solve for x
    x = 402,883,731,257,596,972,105,728/293,025,383,480
  6. Step 6: Final answer
    x = 1,374,910,686,824.83

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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.