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Finding the Third Proportional to 13,974,497.16 and 30,539,746.41

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Solution

The third proportional to 13,974,497.16 and 30,539,746.41 is: 66,741,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974,497.16 : 30,539,746.41 = 30,539,746.41 : x
  2. Step 2: Convert to fraction form
    13,974,497.16/30,539,746.41 = 30,539,746.41/x
  3. Step 3: Cross multiply
    13,974,497.16x = 30,539,746.41 × 30,539,746.41
  4. Step 4: Simplify right side
    13,974,497.16x = 932,676,110,558,059.75
  5. Step 5: Solve for x
    x = 932,676,110,558,059.75/13,974,497.16
  6. Step 6: Final answer
    x = 66,741,300.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.