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Finding the Third Proportional to 7,809,842,124.50 and 11,897,487,550.63

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Solution

The third proportional to 7,809,842,124.50 and 11,897,487,550.63 is: 18,124,593,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809,842,124.50 : 11,897,487,550.63 = 11,897,487,550.63 : x
  2. Step 2: Convert to fraction form
    7,809,842,124.50/11,897,487,550.63 = 11,897,487,550.63/x
  3. Step 3: Cross multiply
    7,809,842,124.50x = 11,897,487,550.63 × 11,897,487,550.63
  4. Step 4: Simplify right side
    7,809,842,124.50x = 141,550,210,017,276,854,272
  5. Step 5: Solve for x
    x = 141,550,210,017,276,854,272/7,809,842,124.50
  6. Step 6: Final answer
    x = 18,124,593,014.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.