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Finding the Third Proportional to 54,539,275 and 82,374,490

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Solution

The third proportional to 54,539,275 and 82,374,490 is: 124,415,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,539,275 : 82,374,490 = 82,374,490 : x
  2. Step 2: Convert to fraction form
    54,539,275/82,374,490 = 82,374,490/x
  3. Step 3: Cross multiply
    54,539,275x = 82,374,490 × 82,374,490
  4. Step 4: Simplify right side
    54,539,275x = 6,785,556,602,760,100
  5. Step 5: Solve for x
    x = 6,785,556,602,760,100/54,539,275
  6. Step 6: Final answer
    x = 124,415,966.34

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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.