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Finding the Third Proportional to 37,347,833,685 and 80,658,841,938

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Solution

The third proportional to 37,347,833,685 and 80,658,841,938 is: 174,196,148,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,347,833,685 : 80,658,841,938 = 80,658,841,938 : x
  2. Step 2: Convert to fraction form
    37,347,833,685/80,658,841,938 = 80,658,841,938/x
  3. Step 3: Cross multiply
    37,347,833,685x = 80,658,841,938 × 80,658,841,938
  4. Step 4: Simplify right side
    37,347,833,685x = 6,505,848,782,779,267,940,352
  5. Step 5: Solve for x
    x = 6,505,848,782,779,267,940,352/37,347,833,685
  6. Step 6: Final answer
    x = 174,196,148,500.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.