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Finding the Third Proportional to 435,335,912 and 947,197,996

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Solution

The third proportional to 435,335,912 and 947,197,996 is: 2,060,900,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,335,912 : 947,197,996 = 947,197,996 : x
  2. Step 2: Convert to fraction form
    435,335,912/947,197,996 = 947,197,996/x
  3. Step 3: Cross multiply
    435,335,912x = 947,197,996 × 947,197,996
  4. Step 4: Simplify right side
    435,335,912x = 897,184,043,626,416,000
  5. Step 5: Solve for x
    x = 897,184,043,626,416,000/435,335,912
  6. Step 6: Final answer
    x = 2,060,900,603.18

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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.