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Finding the Third Proportional to 1,462,550,430 and 3,163,652,256

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Solution

The third proportional to 1,462,550,430 and 3,163,652,256 is: 6,843,316,573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,550,430 : 3,163,652,256 = 3,163,652,256 : x
  2. Step 2: Convert to fraction form
    1,462,550,430/3,163,652,256 = 3,163,652,256/x
  3. Step 3: Cross multiply
    1,462,550,430x = 3,163,652,256 × 3,163,652,256
  4. Step 4: Simplify right side
    1,462,550,430x = 10,008,695,596,893,888,512
  5. Step 5: Solve for x
    x = 10,008,695,596,893,888,512/1,462,550,430
  6. Step 6: Final answer
    x = 6,843,316,573.29

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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.