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Finding the Third Proportional to 803,912,043 and 1,741,378,158

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Solution

The third proportional to 803,912,043 and 1,741,378,158 is: 3,772,051,825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,912,043 : 1,741,378,158 = 1,741,378,158 : x
  2. Step 2: Convert to fraction form
    803,912,043/1,741,378,158 = 1,741,378,158/x
  3. Step 3: Cross multiply
    803,912,043x = 1,741,378,158 × 1,741,378,158
  4. Step 4: Simplify right side
    803,912,043x = 3,032,397,889,159,473,152
  5. Step 5: Solve for x
    x = 3,032,397,889,159,473,152/803,912,043
  6. Step 6: Final answer
    x = 3,772,051,825.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.