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Finding the Third Proportional to 261,657,426,717 and 567,971,341,866

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Solution

The third proportional to 261,657,426,717 and 567,971,341,866 is: 1,232,877,083,706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,657,426,717 : 567,971,341,866 = 567,971,341,866 : x
  2. Step 2: Convert to fraction form
    261,657,426,717/567,971,341,866 = 567,971,341,866/x
  3. Step 3: Cross multiply
    261,657,426,717x = 567,971,341,866 × 567,971,341,866
  4. Step 4: Simplify right side
    261,657,426,717x = 322,591,445,181,064,644,919,296
  5. Step 5: Solve for x
    x = 322,591,445,181,064,644,919,296/261,657,426,717
  6. Step 6: Final answer
    x = 1,232,877,083,706.74

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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.