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Finding the Third Proportional to 56,970,737,684 and 83,749,511,686

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Solution

The third proportional to 56,970,737,684 and 83,749,511,686 is: 123,115,497,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,970,737,684 : 83,749,511,686 = 83,749,511,686 : x
  2. Step 2: Convert to fraction form
    56,970,737,684/83,749,511,686 = 83,749,511,686/x
  3. Step 3: Cross multiply
    56,970,737,684x = 83,749,511,686 × 83,749,511,686
  4. Step 4: Simplify right side
    56,970,737,684x = 7,013,980,707,643,450,195,968
  5. Step 5: Solve for x
    x = 7,013,980,707,643,450,195,968/56,970,737,684
  6. Step 6: Final answer
    x = 123,115,497,407.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.