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Finding the Third Proportional to 3,010,095,856 and 6,481,482,464

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Solution

The third proportional to 3,010,095,856 and 6,481,482,464 is: 13,956,238,253.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010,095,856 : 6,481,482,464 = 6,481,482,464 : x
  2. Step 2: Convert to fraction form
    3,010,095,856/6,481,482,464 = 6,481,482,464/x
  3. Step 3: Cross multiply
    3,010,095,856x = 6,481,482,464 × 6,481,482,464
  4. Step 4: Simplify right side
    3,010,095,856x = 42,009,614,931,139,510,272
  5. Step 5: Solve for x
    x = 42,009,614,931,139,510,272/3,010,095,856
  6. Step 6: Final answer
    x = 13,956,238,253.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.