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Finding the Third Proportional to 77,054,047 and 116,234,255

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Solution

The third proportional to 77,054,047 and 116,234,255 is: 175,336,696.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,054,047 : 116,234,255 = 116,234,255 : x
  2. Step 2: Convert to fraction form
    77,054,047/116,234,255 = 116,234,255/x
  3. Step 3: Cross multiply
    77,054,047x = 116,234,255 × 116,234,255
  4. Step 4: Simplify right side
    77,054,047x = 13,510,402,035,405,024
  5. Step 5: Solve for x
    x = 13,510,402,035,405,024/77,054,047
  6. Step 6: Final answer
    x = 175,336,696.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.