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Finding the Third Proportional to 117,847,456 and 277,799,228

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Solution

The third proportional to 117,847,456 and 277,799,228 is: 654,850,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,847,456 : 277,799,228 = 277,799,228 : x
  2. Step 2: Convert to fraction form
    117,847,456/277,799,228 = 277,799,228/x
  3. Step 3: Cross multiply
    117,847,456x = 277,799,228 × 277,799,228
  4. Step 4: Simplify right side
    117,847,456x = 77,172,411,077,395,984
  5. Step 5: Solve for x
    x = 77,172,411,077,395,984/117,847,456
  6. Step 6: Final answer
    x = 654,850,038.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.