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Finding the Third Proportional to 19,194,930,699 and 41,730,841,689

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Solution

The third proportional to 19,194,930,699 and 41,730,841,689 is: 90,725,159,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,194,930,699 : 41,730,841,689 = 41,730,841,689 : x
  2. Step 2: Convert to fraction form
    19,194,930,699/41,730,841,689 = 41,730,841,689/x
  3. Step 3: Cross multiply
    19,194,930,699x = 41,730,841,689 × 41,730,841,689
  4. Step 4: Simplify right side
    19,194,930,699x = 1,741,463,148,072,380,399,616
  5. Step 5: Solve for x
    x = 1,741,463,148,072,380,399,616/19,194,930,699
  6. Step 6: Final answer
    x = 90,725,159,438.22

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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.