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Finding the Third Proportional to 407,841,193 and 623,465,243

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Solution

The third proportional to 407,841,193 and 623,465,243 is: 953,088,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,841,193 : 623,465,243 = 623,465,243 : x
  2. Step 2: Convert to fraction form
    407,841,193/623,465,243 = 623,465,243/x
  3. Step 3: Cross multiply
    407,841,193x = 623,465,243 × 623,465,243
  4. Step 4: Simplify right side
    407,841,193x = 388,708,909,229,049,024
  5. Step 5: Solve for x
    x = 388,708,909,229,049,024/407,841,193
  6. Step 6: Final answer
    x = 953,088,888.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.