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Finding the Third Proportional to 55,708,124,004 and 122,360,260,089

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Solution

The third proportional to 55,708,124,004 and 122,360,260,089 is: 268,758,525,201.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,708,124,004 : 122,360,260,089 = 122,360,260,089 : x
  2. Step 2: Convert to fraction form
    55,708,124,004/122,360,260,089 = 122,360,260,089/x
  3. Step 3: Cross multiply
    55,708,124,004x = 122,360,260,089 × 122,360,260,089
  4. Step 4: Simplify right side
    55,708,124,004x = 14,972,033,249,047,725,735,936
  5. Step 5: Solve for x
    x = 14,972,033,249,047,725,735,936/55,708,124,004
  6. Step 6: Final answer
    x = 268,758,525,201.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.