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Finding the Third Proportional to 424,675,507 and 908,372,332

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Solution

The third proportional to 424,675,507 and 908,372,332 is: 1,942,990,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,675,507 : 908,372,332 = 908,372,332 : x
  2. Step 2: Convert to fraction form
    424,675,507/908,372,332 = 908,372,332/x
  3. Step 3: Cross multiply
    424,675,507x = 908,372,332 × 908,372,332
  4. Step 4: Simplify right side
    424,675,507x = 825,140,293,543,118,208
  5. Step 5: Solve for x
    x = 825,140,293,543,118,208/424,675,507
  6. Step 6: Final answer
    x = 1,942,990,071.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.