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Finding the Third Proportional to 612,300,024 and 945,518,664

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Solution

The third proportional to 612,300,024 and 945,518,664 is: 1,460,077,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,300,024 : 945,518,664 = 945,518,664 : x
  2. Step 2: Convert to fraction form
    612,300,024/945,518,664 = 945,518,664/x
  3. Step 3: Cross multiply
    612,300,024x = 945,518,664 × 945,518,664
  4. Step 4: Simplify right side
    612,300,024x = 894,005,543,972,344,832
  5. Step 5: Solve for x
    x = 894,005,543,972,344,832/612,300,024
  6. Step 6: Final answer
    x = 1,460,077,590.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.