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Finding the Third Proportional to 2,071,579,464 and 4,437,908,208

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Solution

The third proportional to 2,071,579,464 and 4,437,908,208 is: 9,507,252,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,579,464 : 4,437,908,208 = 4,437,908,208 : x
  2. Step 2: Convert to fraction form
    2,071,579,464/4,437,908,208 = 4,437,908,208/x
  3. Step 3: Cross multiply
    2,071,579,464x = 4,437,908,208 × 4,437,908,208
  4. Step 4: Simplify right side
    2,071,579,464x = 19,695,029,262,633,771,008
  5. Step 5: Solve for x
    x = 19,695,029,262,633,771,008/2,071,579,464
  6. Step 6: Final answer
    x = 9,507,252,608.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.