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Finding the Third Proportional to 6,048,400,118 and 9,488,146,490

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Solution

The third proportional to 6,048,400,118 and 9,488,146,490 is: 14,884,088,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048,400,118 : 9,488,146,490 = 9,488,146,490 : x
  2. Step 2: Convert to fraction form
    6,048,400,118/9,488,146,490 = 9,488,146,490/x
  3. Step 3: Cross multiply
    6,048,400,118x = 9,488,146,490 × 9,488,146,490
  4. Step 4: Simplify right side
    6,048,400,118x = 90,024,923,815,699,316,736
  5. Step 5: Solve for x
    x = 90,024,923,815,699,316,736/6,048,400,118
  6. Step 6: Final answer
    x = 14,884,088,694.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.