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Finding the Third Proportional to 261,657,426,732 and 567,971,341,890

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Solution

The third proportional to 261,657,426,732 and 567,971,341,890 is: 1,232,877,083,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,657,426,732 : 567,971,341,890 = 567,971,341,890 : x
  2. Step 2: Convert to fraction form
    261,657,426,732/567,971,341,890 = 567,971,341,890/x
  3. Step 3: Cross multiply
    261,657,426,732x = 567,971,341,890 × 567,971,341,890
  4. Step 4: Simplify right side
    261,657,426,732x = 322,591,445,208,327,285,374,976
  5. Step 5: Solve for x
    x = 322,591,445,208,327,285,374,976/261,657,426,732
  6. Step 6: Final answer
    x = 1,232,877,083,740.25

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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.