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Finding the Third Proportional to 324,806,454 and 766,510,260.75

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Solution

The third proportional to 324,806,454 and 766,510,260.75 is: 1,808,886,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,806,454 : 766,510,260.75 = 766,510,260.75 : x
  2. Step 2: Convert to fraction form
    324,806,454/766,510,260.75 = 766,510,260.75/x
  3. Step 3: Cross multiply
    324,806,454x = 766,510,260.75 × 766,510,260.75
  4. Step 4: Simplify right side
    324,806,454x = 587,537,979,835,032,960
  5. Step 5: Solve for x
    x = 587,537,979,835,032,960/324,806,454
  6. Step 6: Final answer
    x = 1,808,886,407.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.