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Finding the Third Proportional to 14,207,154 and 22,880,632.50

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Solution

The third proportional to 14,207,154 and 22,880,632.50 is: 36,849,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207,154 : 22,880,632.50 = 22,880,632.50 : x
  2. Step 2: Convert to fraction form
    14,207,154/22,880,632.50 = 22,880,632.50/x
  3. Step 3: Cross multiply
    14,207,154x = 22,880,632.50 × 22,880,632.50
  4. Step 4: Simplify right side
    14,207,154x = 523,523,343,600,056.25
  5. Step 5: Solve for x
    x = 523,523,343,600,056.25/14,207,154
  6. Step 6: Final answer
    x = 36,849,276.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.