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Finding the Third Proportional to 2,071,579,466 and 4,437,908,212

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Solution

The third proportional to 2,071,579,466 and 4,437,908,212 is: 9,507,252,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,579,466 : 4,437,908,212 = 4,437,908,212 : x
  2. Step 2: Convert to fraction form
    2,071,579,466/4,437,908,212 = 4,437,908,212/x
  3. Step 3: Cross multiply
    2,071,579,466x = 4,437,908,212 × 4,437,908,212
  4. Step 4: Simplify right side
    2,071,579,466x = 19,695,029,298,137,038,848
  5. Step 5: Solve for x
    x = 19,695,029,298,137,038,848/2,071,579,466
  6. Step 6: Final answer
    x = 9,507,252,616.37

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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.