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Finding the Third Proportional to 54,909,816 and 82,927,459.50

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Solution

The third proportional to 54,909,816 and 82,927,459.50 is: 125,241,059.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909,816 : 82,927,459.50 = 82,927,459.50 : x
  2. Step 2: Convert to fraction form
    54,909,816/82,927,459.50 = 82,927,459.50/x
  3. Step 3: Cross multiply
    54,909,816x = 82,927,459.50 × 82,927,459.50
  4. Step 4: Simplify right side
    54,909,816x = 6,876,963,539,124,140
  5. Step 5: Solve for x
    x = 6,876,963,539,124,140/54,909,816
  6. Step 6: Final answer
    x = 125,241,059.62

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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.