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Finding the Third Proportional to 8,004,087,918 and 17,386,050,717

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Solution

The third proportional to 8,004,087,918 and 17,386,050,717 is: 37,765,047,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004,087,918 : 17,386,050,717 = 17,386,050,717 : x
  2. Step 2: Convert to fraction form
    8,004,087,918/17,386,050,717 = 17,386,050,717/x
  3. Step 3: Cross multiply
    8,004,087,918x = 17,386,050,717 × 17,386,050,717
  4. Step 4: Simplify right side
    8,004,087,918x = 302,274,759,534,096,220,160
  5. Step 5: Solve for x
    x = 302,274,759,534,096,220,160/8,004,087,918
  6. Step 6: Final answer
    x = 37,765,047,389.64

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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.