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Finding the Third Proportional to 712,142,604 and 1,518,349,536

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Solution

The third proportional to 712,142,604 and 1,518,349,536 is: 3,237,252,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,142,604 : 1,518,349,536 = 1,518,349,536 : x
  2. Step 2: Convert to fraction form
    712,142,604/1,518,349,536 = 1,518,349,536/x
  3. Step 3: Cross multiply
    712,142,604x = 1,518,349,536 × 1,518,349,536
  4. Step 4: Simplify right side
    712,142,604x = 2,305,385,313,471,415,296
  5. Step 5: Solve for x
    x = 2,305,385,313,471,415,296/712,142,604
  6. Step 6: Final answer
    x = 3,237,252,343.17

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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.