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Finding the Third Proportional to 1,429,176,945 and 3,095,783,349

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Solution

The third proportional to 1,429,176,945 and 3,095,783,349 is: 6,705,869,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,176,945 : 3,095,783,349 = 3,095,783,349 : x
  2. Step 2: Convert to fraction form
    1,429,176,945/3,095,783,349 = 3,095,783,349/x
  3. Step 3: Cross multiply
    1,429,176,945x = 3,095,783,349 × 3,095,783,349
  4. Step 4: Simplify right side
    1,429,176,945x = 9,583,874,543,945,656,320
  5. Step 5: Solve for x
    x = 9,583,874,543,945,656,320/1,429,176,945
  6. Step 6: Final answer
    x = 6,705,869,820.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.