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Finding the Third Proportional to 345,421,653 and 493,957,026

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Solution

The third proportional to 345,421,653 and 493,957,026 is: 706,364,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,421,653 : 493,957,026 = 493,957,026 : x
  2. Step 2: Convert to fraction form
    345,421,653/493,957,026 = 493,957,026/x
  3. Step 3: Cross multiply
    345,421,653x = 493,957,026 × 493,957,026
  4. Step 4: Simplify right side
    345,421,653x = 243,993,543,534,764,672
  5. Step 5: Solve for x
    x = 243,993,543,534,764,672/345,421,653
  6. Step 6: Final answer
    x = 706,364,356.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.