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Finding the Third Proportional to 10,772,574 and 23,038,140

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Solution

The third proportional to 10,772,574 and 23,038,140 is: 49,269,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772,574 : 23,038,140 = 23,038,140 : x
  2. Step 2: Convert to fraction form
    10,772,574/23,038,140 = 23,038,140/x
  3. Step 3: Cross multiply
    10,772,574x = 23,038,140 × 23,038,140
  4. Step 4: Simplify right side
    10,772,574x = 530,755,894,659,600
  5. Step 5: Solve for x
    x = 530,755,894,659,600/10,772,574
  6. Step 6: Final answer
    x = 49,269,180.67

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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.