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Finding the Third Proportional to 872,139,819.50 and 1,340,539,056.50

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Solution

The third proportional to 872,139,819.50 and 1,340,539,056.50 is: 2,060,500,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,139,819.50 : 1,340,539,056.50 = 1,340,539,056.50 : x
  2. Step 2: Convert to fraction form
    872,139,819.50/1,340,539,056.50 = 1,340,539,056.50/x
  3. Step 3: Cross multiply
    872,139,819.50x = 1,340,539,056.50 × 1,340,539,056.50
  4. Step 4: Simplify right side
    872,139,819.50x = 1,797,044,962,001,910,272
  5. Step 5: Solve for x
    x = 1,797,044,962,001,910,272/872,139,819.50
  6. Step 6: Final answer
    x = 2,060,500,990.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.