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Finding the Third Proportional to 10,966,120,284 and 16,706,301,540

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Solution

The third proportional to 10,966,120,284 and 16,706,301,540 is: 25,451,162,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966,120,284 : 16,706,301,540 = 16,706,301,540 : x
  2. Step 2: Convert to fraction form
    10,966,120,284/16,706,301,540 = 16,706,301,540/x
  3. Step 3: Cross multiply
    10,966,120,284x = 16,706,301,540 × 16,706,301,540
  4. Step 4: Simplify right side
    10,966,120,284x = 279,100,511,145,406,365,696
  5. Step 5: Solve for x
    x = 279,100,511,145,406,365,696/10,966,120,284
  6. Step 6: Final answer
    x = 25,451,162,664.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.