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Finding the Third Proportional to 1,778,686,016 and 3,863,566,428

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Solution

The third proportional to 1,778,686,016 and 3,863,566,428 is: 8,392,231,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,686,016 : 3,863,566,428 = 3,863,566,428 : x
  2. Step 2: Convert to fraction form
    1,778,686,016/3,863,566,428 = 3,863,566,428/x
  3. Step 3: Cross multiply
    1,778,686,016x = 3,863,566,428 × 3,863,566,428
  4. Step 4: Simplify right side
    1,778,686,016x = 14,927,145,543,568,678,912
  5. Step 5: Solve for x
    x = 14,927,145,543,568,678,912/1,778,686,016
  6. Step 6: Final answer
    x = 8,392,231,911.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.