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Finding the Third Proportional to 291,414,024.56 and 633,886,866.28

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Solution

The third proportional to 291,414,024.56 and 633,886,866.28 is: 1,378,837,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,414,024.56 : 633,886,866.28 = 633,886,866.28 : x
  2. Step 2: Convert to fraction form
    291,414,024.56/633,886,866.28 = 633,886,866.28/x
  3. Step 3: Cross multiply
    291,414,024.56x = 633,886,866.28 × 633,886,866.28
  4. Step 4: Simplify right side
    291,414,024.56x = 401,812,559,243,863,296
  5. Step 5: Solve for x
    x = 401,812,559,243,863,296/291,414,024.56
  6. Step 6: Final answer
    x = 1,378,837,411.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.