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Finding the Third Proportional to 405,254,799 and 955,703,407.50

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Solution

The third proportional to 405,254,799 and 955,703,407.50 is: 2,253,814,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,254,799 : 955,703,407.50 = 955,703,407.50 : x
  2. Step 2: Convert to fraction form
    405,254,799/955,703,407.50 = 955,703,407.50/x
  3. Step 3: Cross multiply
    405,254,799x = 955,703,407.50 × 955,703,407.50
  4. Step 4: Simplify right side
    405,254,799x = 913,369,003,107,111,040
  5. Step 5: Solve for x
    x = 913,369,003,107,111,040/405,254,799
  6. Step 6: Final answer
    x = 2,253,814,156.82

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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.