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Finding the Third Proportional to 14,358,294.75 and 30,734,871

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Solution

The third proportional to 14,358,294.75 and 30,734,871 is: 65,790,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358,294.75 : 30,734,871 = 30,734,871 : x
  2. Step 2: Convert to fraction form
    14,358,294.75/30,734,871 = 30,734,871/x
  3. Step 3: Cross multiply
    14,358,294.75x = 30,734,871 × 30,734,871
  4. Step 4: Simplify right side
    14,358,294.75x = 944,632,295,386,641
  5. Step 5: Solve for x
    x = 944,632,295,386,641/14,358,294.75
  6. Step 6: Final answer
    x = 65,790,005.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.