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Finding the Third Proportional to 946,335,058.31 and 2,059,307,996.63

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Solution

The third proportional to 946,335,058.31 and 2,059,307,996.63 is: 4,481,234,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,335,058.31 : 2,059,307,996.63 = 2,059,307,996.63 : x
  2. Step 2: Convert to fraction form
    946,335,058.31/2,059,307,996.63 = 2,059,307,996.63/x
  3. Step 3: Cross multiply
    946,335,058.31x = 2,059,307,996.63 × 2,059,307,996.63
  4. Step 4: Simplify right side
    946,335,058.31x = 4,240,749,424,963,671,040
  5. Step 5: Solve for x
    x = 4,240,749,424,963,671,040/946,335,058.31
  6. Step 6: Final answer
    x = 4,481,234,619.51

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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.