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Finding the Third Proportional to 2,375,102,235 and 4,913,127,222

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Solution

The third proportional to 2,375,102,235 and 4,913,127,222 is: 10,163,275,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375,102,235 : 4,913,127,222 = 4,913,127,222 : x
  2. Step 2: Convert to fraction form
    2,375,102,235/4,913,127,222 = 4,913,127,222/x
  3. Step 3: Cross multiply
    2,375,102,235x = 4,913,127,222 × 4,913,127,222
  4. Step 4: Simplify right side
    2,375,102,235x = 24,138,819,099,557,437,440
  5. Step 5: Solve for x
    x = 24,138,819,099,557,437,440/2,375,102,235
  6. Step 6: Final answer
    x = 10,163,275,813.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.