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Finding the Third Proportional to 10,263,905 and 14,349,543.50

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Solution

The third proportional to 10,263,905 and 14,349,543.50 is: 20,061,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263,905 : 14,349,543.50 = 14,349,543.50 : x
  2. Step 2: Convert to fraction form
    10,263,905/14,349,543.50 = 14,349,543.50/x
  3. Step 3: Cross multiply
    10,263,905x = 14,349,543.50 × 14,349,543.50
  4. Step 4: Simplify right side
    10,263,905x = 205,909,398,658,392.25
  5. Step 5: Solve for x
    x = 205,909,398,658,392.25/10,263,905
  6. Step 6: Final answer
    x = 20,061,506.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.