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Finding the Third Proportional to 21,724,140,042 and 46,909,968,660

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Solution

The third proportional to 21,724,140,042 and 46,909,968,660 is: 101,294,926,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724,140,042 : 46,909,968,660 = 46,909,968,660 : x
  2. Step 2: Convert to fraction form
    21,724,140,042/46,909,968,660 = 46,909,968,660/x
  3. Step 3: Cross multiply
    21,724,140,042x = 46,909,968,660 × 46,909,968,660
  4. Step 4: Simplify right side
    21,724,140,042x = 2,200,545,159,682,182,086,656
  5. Step 5: Solve for x
    x = 2,200,545,159,682,182,086,656/21,724,140,042
  6. Step 6: Final answer
    x = 101,294,926,078.91

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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.