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Finding the Third Proportional to 421,138,645 and 908,865,202

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Solution

The third proportional to 421,138,645 and 908,865,202 is: 1,961,434,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,138,645 : 908,865,202 = 908,865,202 : x
  2. Step 2: Convert to fraction form
    421,138,645/908,865,202 = 908,865,202/x
  3. Step 3: Cross multiply
    421,138,645x = 908,865,202 × 908,865,202
  4. Step 4: Simplify right side
    421,138,645x = 826,035,955,406,500,864
  5. Step 5: Solve for x
    x = 826,035,955,406,500,864/421,138,645
  6. Step 6: Final answer
    x = 1,961,434,708.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.