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Finding the Third Proportional to 261,657,426,736 and 567,971,341,898

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Solution

The third proportional to 261,657,426,736 and 567,971,341,898 is: 1,232,877,083,756.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,657,426,736 : 567,971,341,898 = 567,971,341,898 : x
  2. Step 2: Convert to fraction form
    261,657,426,736/567,971,341,898 = 567,971,341,898/x
  3. Step 3: Cross multiply
    261,657,426,736x = 567,971,341,898 × 567,971,341,898
  4. Step 4: Simplify right side
    261,657,426,736x = 322,591,445,217,414,832,193,536
  5. Step 5: Solve for x
    x = 322,591,445,217,414,832,193,536/261,657,426,736
  6. Step 6: Final answer
    x = 1,232,877,083,756.14

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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.