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Finding the Third Proportional to 503,319,361,710 and 1,104,083,944,470.50

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Solution

The third proportional to 503,319,361,710 and 1,104,083,944,470.50 is: 2,421,924,227,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,319,361,710 : 1,104,083,944,470.50 = 1,104,083,944,470.50 : x
  2. Step 2: Convert to fraction form
    503,319,361,710/1,104,083,944,470.50 = 1,104,083,944,470.50/x
  3. Step 3: Cross multiply
    503,319,361,710x = 1,104,083,944,470.50 × 1,104,083,944,470.50
  4. Step 4: Simplify right side
    503,319,361,710x = 1,219,001,356,437,537,993,785,344
  5. Step 5: Solve for x
    x = 1,219,001,356,437,537,993,785,344/503,319,361,710
  6. Step 6: Final answer
    x = 2,421,924,227,782.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.