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Finding the Third Proportional to 3,410,938,776,258 and 7,584,514,784,982

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Solution

The third proportional to 3,410,938,776,258 and 7,584,514,784,982 is: 16,864,818,836,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410,938,776,258 : 7,584,514,784,982 = 7,584,514,784,982 : x
  2. Step 2: Convert to fraction form
    3,410,938,776,258/7,584,514,784,982 = 7,584,514,784,982/x
  3. Step 3: Cross multiply
    3,410,938,776,258x = 7,584,514,784,982 × 7,584,514,784,982
  4. Step 4: Simplify right side
    3,410,938,776,258x = 57,524,864,523,610,554,909,065,216
  5. Step 5: Solve for x
    x = 57,524,864,523,610,554,909,065,216/3,410,938,776,258
  6. Step 6: Final answer
    x = 16,864,818,836,390.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.