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Finding the Third Proportional to 375,742,992 and 762,051,024

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Solution

The third proportional to 375,742,992 and 762,051,024 is: 1,545,529,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,742,992 : 762,051,024 = 762,051,024 : x
  2. Step 2: Convert to fraction form
    375,742,992/762,051,024 = 762,051,024/x
  3. Step 3: Cross multiply
    375,742,992x = 762,051,024 × 762,051,024
  4. Step 4: Simplify right side
    375,742,992x = 580,721,763,179,448,576
  5. Step 5: Solve for x
    x = 580,721,763,179,448,576/375,742,992
  6. Step 6: Final answer
    x = 1,545,529,192.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.