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Finding the Third Proportional to 421,138,700 and 908,865,304

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Solution

The third proportional to 421,138,700 and 908,865,304 is: 1,961,434,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,138,700 : 908,865,304 = 908,865,304 : x
  2. Step 2: Convert to fraction form
    421,138,700/908,865,304 = 908,865,304/x
  3. Step 3: Cross multiply
    421,138,700x = 908,865,304 × 908,865,304
  4. Step 4: Simplify right side
    421,138,700x = 826,036,140,815,012,352
  5. Step 5: Solve for x
    x = 826,036,140,815,012,352/421,138,700
  6. Step 6: Final answer
    x = 1,961,434,892.63

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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.