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Finding the Third Proportional to 1,462,550,418 and 3,163,652,235

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Solution

The third proportional to 1,462,550,418 and 3,163,652,235 is: 6,843,316,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,550,418 : 3,163,652,235 = 3,163,652,235 : x
  2. Step 2: Convert to fraction form
    1,462,550,418/3,163,652,235 = 3,163,652,235/x
  3. Step 3: Cross multiply
    1,462,550,418x = 3,163,652,235 × 3,163,652,235
  4. Step 4: Simplify right side
    1,462,550,418x = 10,008,695,464,020,494,336
  5. Step 5: Solve for x
    x = 10,008,695,464,020,494,336/1,462,550,418
  6. Step 6: Final answer
    x = 6,843,316,538.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.