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Finding the Third Proportional to 10,870,300.50 and 23,693,729

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Solution

The third proportional to 10,870,300.50 and 23,693,729 is: 51,644,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870,300.50 : 23,693,729 = 23,693,729 : x
  2. Step 2: Convert to fraction form
    10,870,300.50/23,693,729 = 23,693,729/x
  3. Step 3: Cross multiply
    10,870,300.50x = 23,693,729 × 23,693,729
  4. Step 4: Simplify right side
    10,870,300.50x = 561,392,793,925,441
  5. Step 5: Solve for x
    x = 561,392,793,925,441/10,870,300.50
  6. Step 6: Final answer
    x = 51,644,643.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.