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Finding the Third Proportional to 295,161,960 and 645,926,211

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Solution

The third proportional to 295,161,960 and 645,926,211 is: 1,413,531,303.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,161,960 : 645,926,211 = 645,926,211 : x
  2. Step 2: Convert to fraction form
    295,161,960/645,926,211 = 645,926,211/x
  3. Step 3: Cross multiply
    295,161,960x = 645,926,211 × 645,926,211
  4. Step 4: Simplify right side
    295,161,960x = 417,220,670,056,816,512
  5. Step 5: Solve for x
    x = 417,220,670,056,816,512/295,161,960
  6. Step 6: Final answer
    x = 1,413,531,303.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.