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Finding the Third Proportional to 465,835,260 and 997,109,304

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Solution

The third proportional to 465,835,260 and 997,109,304 is: 2,134,288,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,835,260 : 997,109,304 = 997,109,304 : x
  2. Step 2: Convert to fraction form
    465,835,260/997,109,304 = 997,109,304/x
  3. Step 3: Cross multiply
    465,835,260x = 997,109,304 × 997,109,304
  4. Step 4: Simplify right side
    465,835,260x = 994,226,964,123,364,352
  5. Step 5: Solve for x
    x = 994,226,964,123,364,352/465,835,260
  6. Step 6: Final answer
    x = 2,134,288,770.08

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