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Finding the Third Proportional to 714,519,582.75 and 1,487,758,099.36

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Solution

The third proportional to 714,519,582.75 and 1,487,758,099.36 is: 3,097,779,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,519,582.75 : 1,487,758,099.36 = 1,487,758,099.36 : x
  2. Step 2: Convert to fraction form
    714,519,582.75/1,487,758,099.36 = 1,487,758,099.36/x
  3. Step 3: Cross multiply
    714,519,582.75x = 1,487,758,099.36 × 1,487,758,099.36
  4. Step 4: Simplify right side
    714,519,582.75x = 2,213,424,162,209,494,528
  5. Step 5: Solve for x
    x = 2,213,424,162,209,494,528/714,519,582.75
  6. Step 6: Final answer
    x = 3,097,779,564.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.