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Finding the Third Proportional to 16,949,876,016 and 27,909,743,688

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Solution

The third proportional to 16,949,876,016 and 27,909,743,688 is: 45,956,312,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,949,876,016 : 27,909,743,688 = 27,909,743,688 : x
  2. Step 2: Convert to fraction form
    16,949,876,016/27,909,743,688 = 27,909,743,688/x
  3. Step 3: Cross multiply
    16,949,876,016x = 27,909,743,688 × 27,909,743,688
  4. Step 4: Simplify right side
    16,949,876,016x = 778,953,792,729,855,819,776
  5. Step 5: Solve for x
    x = 778,953,792,729,855,819,776/16,949,876,016
  6. Step 6: Final answer
    x = 45,956,312,128.45

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.