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Finding the Third Proportional to 539,830,921,832 and 1,124,343,331,531

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Solution

The third proportional to 539,830,921,832 and 1,124,343,331,531 is: 2,341,747,899,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,830,921,832 : 1,124,343,331,531 = 1,124,343,331,531 : x
  2. Step 2: Convert to fraction form
    539,830,921,832/1,124,343,331,531 = 1,124,343,331,531/x
  3. Step 3: Cross multiply
    539,830,921,832x = 1,124,343,331,531 × 1,124,343,331,531
  4. Step 4: Simplify right side
    539,830,921,832x = 1,264,147,927,158,228,219,068,416
  5. Step 5: Solve for x
    x = 1,264,147,927,158,228,219,068,416/539,830,921,832
  6. Step 6: Final answer
    x = 2,341,747,899,264.73

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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.