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Finding the Third Proportional to 304,148,996 and 624,421,854

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Solution

The third proportional to 304,148,996 and 624,421,854 is: 1,281,946,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148,996 : 624,421,854 = 624,421,854 : x
  2. Step 2: Convert to fraction form
    304,148,996/624,421,854 = 624,421,854/x
  3. Step 3: Cross multiply
    304,148,996x = 624,421,854 × 624,421,854
  4. Step 4: Simplify right side
    304,148,996x = 389,902,651,752,797,312
  5. Step 5: Solve for x
    x = 389,902,651,752,797,312/304,148,996
  6. Step 6: Final answer
    x = 1,281,946,206.89

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.