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Finding the Third Proportional to 524,775,653 and 1,214,888,809.50

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Solution

The third proportional to 524,775,653 and 1,214,888,809.50 is: 2,812,544,391.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,775,653 : 1,214,888,809.50 = 1,214,888,809.50 : x
  2. Step 2: Convert to fraction form
    524,775,653/1,214,888,809.50 = 1,214,888,809.50/x
  3. Step 3: Cross multiply
    524,775,653x = 1,214,888,809.50 × 1,214,888,809.50
  4. Step 4: Simplify right side
    524,775,653x = 1,475,954,819,448,327,168
  5. Step 5: Solve for x
    x = 1,475,954,819,448,327,168/524,775,653
  6. Step 6: Final answer
    x = 2,812,544,391.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.