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Finding the Third Proportional to 9,089,641.86 and 14,470,405.10

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Solution

The third proportional to 9,089,641.86 and 14,470,405.10 is: 23,036,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089,641.86 : 14,470,405.10 = 14,470,405.10 : x
  2. Step 2: Convert to fraction form
    9,089,641.86/14,470,405.10 = 14,470,405.10/x
  3. Step 3: Cross multiply
    9,089,641.86x = 14,470,405.10 × 14,470,405.10
  4. Step 4: Simplify right side
    9,089,641.86x = 209,392,623,803,311.59
  5. Step 5: Solve for x
    x = 209,392,623,803,311.59/9,089,641.86
  6. Step 6: Final answer
    x = 23,036,399.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.