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Finding the Third Proportional to 539,831,020,728 and 1,124,343,536,232

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Solution

The third proportional to 539,831,020,728 and 1,124,343,536,232 is: 2,341,748,322,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,831,020,728 : 1,124,343,536,232 = 1,124,343,536,232 : x
  2. Step 2: Convert to fraction form
    539,831,020,728/1,124,343,536,232 = 1,124,343,536,232/x
  3. Step 3: Cross multiply
    539,831,020,728x = 1,124,343,536,232 × 1,124,343,536,232
  4. Step 4: Simplify right side
    539,831,020,728x = 1,264,148,387,466,678,733,111,296
  5. Step 5: Solve for x
    x = 1,264,148,387,466,678,733,111,296/539,831,020,728
  6. Step 6: Final answer
    x = 2,341,748,322,950.92

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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.