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Finding the Third Proportional to 2,215,298,754 and 4,727,108,484

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Solution

The third proportional to 2,215,298,754 and 4,727,108,484 is: 10,086,926,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215,298,754 : 4,727,108,484 = 4,727,108,484 : x
  2. Step 2: Convert to fraction form
    2,215,298,754/4,727,108,484 = 4,727,108,484/x
  3. Step 3: Cross multiply
    2,215,298,754x = 4,727,108,484 × 4,727,108,484
  4. Step 4: Simplify right side
    2,215,298,754x = 22,345,554,619,504,779,264
  5. Step 5: Solve for x
    x = 22,345,554,619,504,779,264/2,215,298,754
  6. Step 6: Final answer
    x = 10,086,926,009.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.