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Finding the Third Proportional to 333,509,460.75 and 724,430,693.81

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Solution

The third proportional to 333,509,460.75 and 724,430,693.81 is: 1,573,568,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,509,460.75 : 724,430,693.81 = 724,430,693.81 : x
  2. Step 2: Convert to fraction form
    333,509,460.75/724,430,693.81 = 724,430,693.81/x
  3. Step 3: Cross multiply
    333,509,460.75x = 724,430,693.81 × 724,430,693.81
  4. Step 4: Simplify right side
    333,509,460.75x = 524,799,830,137,660,096
  5. Step 5: Solve for x
    x = 524,799,830,137,660,096/333,509,460.75
  6. Step 6: Final answer
    x = 1,573,568,044.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.