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Finding the Third Proportional to 435,335,990 and 947,198,106

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Solution

The third proportional to 435,335,990 and 947,198,106 is: 2,060,900,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,335,990 : 947,198,106 = 947,198,106 : x
  2. Step 2: Convert to fraction form
    435,335,990/947,198,106 = 947,198,106/x
  3. Step 3: Cross multiply
    435,335,990x = 947,198,106 × 947,198,106
  4. Step 4: Simplify right side
    435,335,990x = 897,184,252,009,987,200
  5. Step 5: Solve for x
    x = 897,184,252,009,987,200/435,335,990
  6. Step 6: Final answer
    x = 2,060,900,712.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.