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Finding the Third Proportional to 1,617,371,930 and 2,311,266,633

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Solution

The third proportional to 1,617,371,930 and 2,311,266,633 is: 3,302,860,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,371,930 : 2,311,266,633 = 2,311,266,633 : x
  2. Step 2: Convert to fraction form
    1,617,371,930/2,311,266,633 = 2,311,266,633/x
  3. Step 3: Cross multiply
    1,617,371,930x = 2,311,266,633 × 2,311,266,633
  4. Step 4: Simplify right side
    1,617,371,930x = 5,341,953,448,819,156,992
  5. Step 5: Solve for x
    x = 5,341,953,448,819,156,992/1,617,371,930
  6. Step 6: Final answer
    x = 3,302,860,244.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.