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Finding the Third Proportional to 619,956,703,320 and 970,401,564,864

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Solution

The third proportional to 619,956,703,320 and 970,401,564,864 is: 1,518,943,487,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,956,703,320 : 970,401,564,864 = 970,401,564,864 : x
  2. Step 2: Convert to fraction form
    619,956,703,320/970,401,564,864 = 970,401,564,864/x
  3. Step 3: Cross multiply
    619,956,703,320x = 970,401,564,864 × 970,401,564,864
  4. Step 4: Simplify right side
    619,956,703,320x = 941,679,197,090,500,042,555,392
  5. Step 5: Solve for x
    x = 941,679,197,090,500,042,555,392/619,956,703,320
  6. Step 6: Final answer
    x = 1,518,943,487,581.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.