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Finding the Third Proportional to 539,831,020,692 and 1,124,343,536,124

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Solution

The third proportional to 539,831,020,692 and 1,124,343,536,124 is: 2,341,748,322,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,831,020,692 : 1,124,343,536,124 = 1,124,343,536,124 : x
  2. Step 2: Convert to fraction form
    539,831,020,692/1,124,343,536,124 = 1,124,343,536,124/x
  3. Step 3: Cross multiply
    539,831,020,692x = 1,124,343,536,124 × 1,124,343,536,124
  4. Step 4: Simplify right side
    539,831,020,692x = 1,264,148,387,223,820,612,665,344
  5. Step 5: Solve for x
    x = 1,264,148,387,223,820,612,665,344/539,831,020,692
  6. Step 6: Final answer
    x = 2,341,748,322,657.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.