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Finding the Third Proportional to 299,655,415,412 and 432,950,328,108

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Solution

The third proportional to 299,655,415,412 and 432,950,328,108 is: 625,538,458,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,655,415,412 : 432,950,328,108 = 432,950,328,108 : x
  2. Step 2: Convert to fraction form
    299,655,415,412/432,950,328,108 = 432,950,328,108/x
  3. Step 3: Cross multiply
    299,655,415,412x = 432,950,328,108 × 432,950,328,108
  4. Step 4: Simplify right side
    299,655,415,412x = 187,445,986,608,824,864,210,944
  5. Step 5: Solve for x
    x = 187,445,986,608,824,864,210,944/299,655,415,412
  6. Step 6: Final answer
    x = 625,538,458,402.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.