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Finding the Third Proportional to 345,820,741.88 and 534,890,855.81

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Solution

The third proportional to 345,820,741.88 and 534,890,855.81 is: 827,331,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,820,741.88 : 534,890,855.81 = 534,890,855.81 : x
  2. Step 2: Convert to fraction form
    345,820,741.88/534,890,855.81 = 534,890,855.81/x
  3. Step 3: Cross multiply
    345,820,741.88x = 534,890,855.81 × 534,890,855.81
  4. Step 4: Simplify right side
    345,820,741.88x = 286,108,227,631,828,672
  5. Step 5: Solve for x
    x = 286,108,227,631,828,672/345,820,741.88
  6. Step 6: Final answer
    x = 827,331,021.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.