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Finding the Third Proportional to 442,997,370 and 965,706,516

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Solution

The third proportional to 442,997,370 and 965,706,516 is: 2,105,179,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,997,370 : 965,706,516 = 965,706,516 : x
  2. Step 2: Convert to fraction form
    442,997,370/965,706,516 = 965,706,516/x
  3. Step 3: Cross multiply
    442,997,370x = 965,706,516 × 965,706,516
  4. Step 4: Simplify right side
    442,997,370x = 932,589,075,044,858,240
  5. Step 5: Solve for x
    x = 932,589,075,044,858,240/442,997,370
  6. Step 6: Final answer
    x = 2,105,179,710.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.