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Finding the Third Proportional to 1,937,970,700 and 4,251,105,944

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Solution

The third proportional to 1,937,970,700 and 4,251,105,944 is: 9,325,167,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,970,700 : 4,251,105,944 = 4,251,105,944 : x
  2. Step 2: Convert to fraction form
    1,937,970,700/4,251,105,944 = 4,251,105,944/x
  3. Step 3: Cross multiply
    1,937,970,700x = 4,251,105,944 × 4,251,105,944
  4. Step 4: Simplify right side
    1,937,970,700x = 18,071,901,747,112,130,560
  5. Step 5: Solve for x
    x = 18,071,901,747,112,130,560/1,937,970,700
  6. Step 6: Final answer
    x = 9,325,167,685.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.