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Finding the Third Proportional to 58,686,631,405 and 127,118,246,878

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Solution

The third proportional to 58,686,631,405 and 127,118,246,878 is: 275,344,627,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,686,631,405 : 127,118,246,878 = 127,118,246,878 : x
  2. Step 2: Convert to fraction form
    58,686,631,405/127,118,246,878 = 127,118,246,878/x
  3. Step 3: Cross multiply
    58,686,631,405x = 127,118,246,878 × 127,118,246,878
  4. Step 4: Simplify right side
    58,686,631,405x = 16,159,048,689,336,157,470,720
  5. Step 5: Solve for x
    x = 16,159,048,689,336,157,470,720/58,686,631,405
  6. Step 6: Final answer
    x = 275,344,627,941.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.