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Finding the Third Proportional to 233,425,891.13 and 501,470,488.69

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Solution

The third proportional to 233,425,891.13 and 501,470,488.69 is: 1,077,312,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,425,891.13 : 501,470,488.69 = 501,470,488.69 : x
  2. Step 2: Convert to fraction form
    233,425,891.13/501,470,488.69 = 501,470,488.69/x
  3. Step 3: Cross multiply
    233,425,891.13x = 501,470,488.69 × 501,470,488.69
  4. Step 4: Simplify right side
    233,425,891.13x = 251,472,651,024,480,064
  5. Step 5: Solve for x
    x = 251,472,651,024,480,064/233,425,891.13
  6. Step 6: Final answer
    x = 1,077,312,588.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.