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Finding the Third Proportional to 76,746,520 and 118,083,989

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Solution

The third proportional to 76,746,520 and 118,083,989 is: 181,686,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,746,520 : 118,083,989 = 118,083,989 : x
  2. Step 2: Convert to fraction form
    76,746,520/118,083,989 = 118,083,989/x
  3. Step 3: Cross multiply
    76,746,520x = 118,083,989 × 118,083,989
  4. Step 4: Simplify right side
    76,746,520x = 13,943,828,458,152,120
  5. Step 5: Solve for x
    x = 13,943,828,458,152,120/76,746,520
  6. Step 6: Final answer
    x = 181,686,784.73

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Why These Related Problems?

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