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Finding the Third Proportional to 5,078,063,898 and 7,843,488,255

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Solution

The third proportional to 5,078,063,898 and 7,843,488,255 is: 12,114,914,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078,063,898 : 7,843,488,255 = 7,843,488,255 : x
  2. Step 2: Convert to fraction form
    5,078,063,898/7,843,488,255 = 7,843,488,255/x
  3. Step 3: Cross multiply
    5,078,063,898x = 7,843,488,255 × 7,843,488,255
  4. Step 4: Simplify right side
    5,078,063,898x = 61,520,308,006,322,946,048
  5. Step 5: Solve for x
    x = 61,520,308,006,322,946,048/5,078,063,898
  6. Step 6: Final answer
    x = 12,114,914,117.28

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