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Finding the Third Proportional to 712,142,631 and 1,518,349,590

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Solution

The third proportional to 712,142,631 and 1,518,349,590 is: 3,237,252,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,142,631 : 1,518,349,590 = 1,518,349,590 : x
  2. Step 2: Convert to fraction form
    712,142,631/1,518,349,590 = 1,518,349,590/x
  3. Step 3: Cross multiply
    712,142,631x = 1,518,349,590 × 1,518,349,590
  4. Step 4: Simplify right side
    712,142,631x = 2,305,385,477,453,168,128
  5. Step 5: Solve for x
    x = 2,305,385,477,453,168,128/712,142,631
  6. Step 6: Final answer
    x = 3,237,252,450.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.