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Finding the Third Proportional to 3,704,048,066,772 and 8,023,594,293,750

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Solution

The third proportional to 3,704,048,066,772 and 8,023,594,293,750 is: 17,380,461,654,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704,048,066,772 : 8,023,594,293,750 = 8,023,594,293,750 : x
  2. Step 2: Convert to fraction form
    3,704,048,066,772/8,023,594,293,750 = 8,023,594,293,750/x
  3. Step 3: Cross multiply
    3,704,048,066,772x = 8,023,594,293,750 × 8,023,594,293,750
  4. Step 4: Simplify right side
    3,704,048,066,772x = 64,378,065,390,697,564,981,952,512
  5. Step 5: Solve for x
    x = 64,378,065,390,697,564,981,952,512/3,704,048,066,772
  6. Step 6: Final answer
    x = 17,380,461,654,430.34

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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.