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Finding the Third Proportional to 1,429,176,400 and 3,095,781,497

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Solution

The third proportional to 1,429,176,400 and 3,095,781,497 is: 6,705,864,354.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,176,400 : 3,095,781,497 = 3,095,781,497 : x
  2. Step 2: Convert to fraction form
    1,429,176,400/3,095,781,497 = 3,095,781,497/x
  3. Step 3: Cross multiply
    1,429,176,400x = 3,095,781,497 × 3,095,781,497
  4. Step 4: Simplify right side
    1,429,176,400x = 9,583,863,077,167,560,704
  5. Step 5: Solve for x
    x = 9,583,863,077,167,560,704/1,429,176,400
  6. Step 6: Final answer
    x = 6,705,864,354.58

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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.