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Finding the Third Proportional to 532,152,542 and 1,137,848,058

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Solution

The third proportional to 532,152,542 and 1,137,848,058 is: 2,432,945,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,152,542 : 1,137,848,058 = 1,137,848,058 : x
  2. Step 2: Convert to fraction form
    532,152,542/1,137,848,058 = 1,137,848,058/x
  3. Step 3: Cross multiply
    532,152,542x = 1,137,848,058 × 1,137,848,058
  4. Step 4: Simplify right side
    532,152,542x = 1,294,698,203,094,371,328
  5. Step 5: Solve for x
    x = 1,294,698,203,094,371,328/532,152,542
  6. Step 6: Final answer
    x = 2,432,945,632.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.