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Finding the Third Proportional to 486,214,393.50 and 1,064,641,448.25

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Solution

The third proportional to 486,214,393.50 and 1,064,641,448.25 is: 2,331,196,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,214,393.50 : 1,064,641,448.25 = 1,064,641,448.25 : x
  2. Step 2: Convert to fraction form
    486,214,393.50/1,064,641,448.25 = 1,064,641,448.25/x
  3. Step 3: Cross multiply
    486,214,393.50x = 1,064,641,448.25 × 1,064,641,448.25
  4. Step 4: Simplify right side
    486,214,393.50x = 1,133,461,413,331,857,408
  5. Step 5: Solve for x
    x = 1,133,461,413,331,857,408/486,214,393.50
  6. Step 6: Final answer
    x = 2,331,196,748.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.