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Finding the Third Proportional to 384,508,076 and 595,761,084

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Solution

The third proportional to 384,508,076 and 595,761,084 is: 923,078,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,508,076 : 595,761,084 = 595,761,084 : x
  2. Step 2: Convert to fraction form
    384,508,076/595,761,084 = 595,761,084/x
  3. Step 3: Cross multiply
    384,508,076x = 595,761,084 × 595,761,084
  4. Step 4: Simplify right side
    384,508,076x = 354,931,269,208,855,040
  5. Step 5: Solve for x
    x = 354,931,269,208,855,040/384,508,076
  6. Step 6: Final answer
    x = 923,078,841.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.