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Finding the Third Proportional to 4,731,802.31 and 7,089,714.84

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Solution

The third proportional to 4,731,802.31 and 7,089,714.84 is: 10,622,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731,802.31 : 7,089,714.84 = 7,089,714.84 : x
  2. Step 2: Convert to fraction form
    4,731,802.31/7,089,714.84 = 7,089,714.84/x
  3. Step 3: Cross multiply
    4,731,802.31x = 7,089,714.84 × 7,089,714.84
  4. Step 4: Simplify right side
    4,731,802.31x = 50,264,056,565,689.09
  5. Step 5: Solve for x
    x = 50,264,056,565,689.09/4,731,802.31
  6. Step 6: Final answer
    x = 10,622,602.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.