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Finding the Third Proportional to 902,123,700 and 1,435,471,068

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Solution

The third proportional to 902,123,700 and 1,435,471,068 is: 2,284,140,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,123,700 : 1,435,471,068 = 1,435,471,068 : x
  2. Step 2: Convert to fraction form
    902,123,700/1,435,471,068 = 1,435,471,068/x
  3. Step 3: Cross multiply
    902,123,700x = 1,435,471,068 × 1,435,471,068
  4. Step 4: Simplify right side
    902,123,700x = 2,060,577,187,065,060,608
  5. Step 5: Solve for x
    x = 2,060,577,187,065,060,608/902,123,700
  6. Step 6: Final answer
    x = 2,284,140,397.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.