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Finding the Third Proportional to 1,429,176,408.75 and 3,095,781,516

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Solution

The third proportional to 1,429,176,408.75 and 3,095,781,516 is: 6,705,864,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,176,408.75 : 3,095,781,516 = 3,095,781,516 : x
  2. Step 2: Convert to fraction form
    1,429,176,408.75/3,095,781,516 = 3,095,781,516/x
  3. Step 3: Cross multiply
    1,429,176,408.75x = 3,095,781,516 × 3,095,781,516
  4. Step 4: Simplify right side
    1,429,176,408.75x = 9,583,863,194,807,259,136
  5. Step 5: Solve for x
    x = 9,583,863,194,807,259,136/1,429,176,408.75
  6. Step 6: Final answer
    x = 6,705,864,395.84

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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.