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Finding the Third Proportional to 10,161,997,458 and 22,012,604,410

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Solution

The third proportional to 10,161,997,458 and 22,012,604,410 is: 47,683,022,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161,997,458 : 22,012,604,410 = 22,012,604,410 : x
  2. Step 2: Convert to fraction form
    10,161,997,458/22,012,604,410 = 22,012,604,410/x
  3. Step 3: Cross multiply
    10,161,997,458x = 22,012,604,410 × 22,012,604,410
  4. Step 4: Simplify right side
    10,161,997,458x = 484,554,752,911,151,464,448
  5. Step 5: Solve for x
    x = 484,554,752,911,151,464,448/10,161,997,458
  6. Step 6: Final answer
    x = 47,683,022,448.47

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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.