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Finding the Third Proportional to 2,762,105,956 and 5,917,210,952

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Solution

The third proportional to 2,762,105,956 and 5,917,210,952 is: 12,676,336,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762,105,956 : 5,917,210,952 = 5,917,210,952 : x
  2. Step 2: Convert to fraction form
    2,762,105,956/5,917,210,952 = 5,917,210,952/x
  3. Step 3: Cross multiply
    2,762,105,956x = 5,917,210,952 × 5,917,210,952
  4. Step 4: Simplify right side
    2,762,105,956x = 35,013,385,450,468,745,216
  5. Step 5: Solve for x
    x = 35,013,385,450,468,745,216/2,762,105,956
  6. Step 6: Final answer
    x = 12,676,336,827.13

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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.