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Finding the Third Proportional to 4,047,031,645 and 9,024,607,003

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Solution

The third proportional to 4,047,031,645 and 9,024,607,003 is: 20,124,263,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047,031,645 : 9,024,607,003 = 9,024,607,003 : x
  2. Step 2: Convert to fraction form
    4,047,031,645/9,024,607,003 = 9,024,607,003/x
  3. Step 3: Cross multiply
    4,047,031,645x = 9,024,607,003 × 9,024,607,003
  4. Step 4: Simplify right side
    4,047,031,645x = 81,443,531,558,596,640,768
  5. Step 5: Solve for x
    x = 81,443,531,558,596,640,768/4,047,031,645
  6. Step 6: Final answer
    x = 20,124,263,584.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.