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Finding the Third Proportional to 539,830,921,818 and 1,124,343,331,500

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Solution

The third proportional to 539,830,921,818 and 1,124,343,331,500 is: 2,341,747,899,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,830,921,818 : 1,124,343,331,500 = 1,124,343,331,500 : x
  2. Step 2: Convert to fraction form
    539,830,921,818/1,124,343,331,500 = 1,124,343,331,500/x
  3. Step 3: Cross multiply
    539,830,921,818x = 1,124,343,331,500 × 1,124,343,331,500
  4. Step 4: Simplify right side
    539,830,921,818x = 1,264,147,927,088,519,020,806,144
  5. Step 5: Solve for x
    x = 1,264,147,927,088,519,020,806,144/539,830,921,818
  6. Step 6: Final answer
    x = 2,341,747,899,196.33

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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.