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Finding the Third Proportional to 4,047,031,641 and 9,024,606,996

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Solution

The third proportional to 4,047,031,641 and 9,024,606,996 is: 20,124,263,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047,031,641 : 9,024,606,996 = 9,024,606,996 : x
  2. Step 2: Convert to fraction form
    4,047,031,641/9,024,606,996 = 9,024,606,996/x
  3. Step 3: Cross multiply
    4,047,031,641x = 9,024,606,996 × 9,024,606,996
  4. Step 4: Simplify right side
    4,047,031,641x = 81,443,531,432,252,145,664
  5. Step 5: Solve for x
    x = 81,443,531,432,252,145,664/4,047,031,641
  6. Step 6: Final answer
    x = 20,124,263,573.12

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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.