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Finding the Third Proportional to 435,356,844 and 947,237,091

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Solution

The third proportional to 435,356,844 and 947,237,091 is: 2,060,971,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,356,844 : 947,237,091 = 947,237,091 : x
  2. Step 2: Convert to fraction form
    435,356,844/947,237,091 = 947,237,091/x
  3. Step 3: Cross multiply
    435,356,844x = 947,237,091 × 947,237,091
  4. Step 4: Simplify right side
    435,356,844x = 897,258,106,566,142,336
  5. Step 5: Solve for x
    x = 897,258,106,566,142,336/435,356,844
  6. Step 6: Final answer
    x = 2,060,971,634.95

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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.