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Finding the Third Proportional to 1,045,362,863 and 2,275,076,623

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Solution

The third proportional to 1,045,362,863 and 2,275,076,623 is: 4,951,365,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045,362,863 : 2,275,076,623 = 2,275,076,623 : x
  2. Step 2: Convert to fraction form
    1,045,362,863/2,275,076,623 = 2,275,076,623/x
  3. Step 3: Cross multiply
    1,045,362,863x = 2,275,076,623 × 2,275,076,623
  4. Step 4: Simplify right side
    1,045,362,863x = 5,175,973,640,521,083,904
  5. Step 5: Solve for x
    x = 5,175,973,640,521,083,904/1,045,362,863
  6. Step 6: Final answer
    x = 4,951,365,524.57

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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.