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Finding the Third Proportional to 901,492,543 and 1,958,171,905

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Solution

The third proportional to 901,492,543 and 1,958,171,905 is: 4,253,431,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,492,543 : 1,958,171,905 = 1,958,171,905 : x
  2. Step 2: Convert to fraction form
    901,492,543/1,958,171,905 = 1,958,171,905/x
  3. Step 3: Cross multiply
    901,492,543x = 1,958,171,905 × 1,958,171,905
  4. Step 4: Simplify right side
    901,492,543x = 3,834,437,209,531,329,024
  5. Step 5: Solve for x
    x = 3,834,437,209,531,329,024/901,492,543
  6. Step 6: Final answer
    x = 4,253,431,977.12

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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.