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Finding the Third Proportional to 447,611,931,065 and 973,650,204,823

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Solution

The third proportional to 447,611,931,065 and 973,650,204,823 is: 2,117,894,219,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,611,931,065 : 973,650,204,823 = 973,650,204,823 : x
  2. Step 2: Convert to fraction form
    447,611,931,065/973,650,204,823 = 973,650,204,823/x
  3. Step 3: Cross multiply
    447,611,931,065x = 973,650,204,823 × 973,650,204,823
  4. Step 4: Simplify right side
    447,611,931,065x = 947,994,721,351,869,906,550,784
  5. Step 5: Solve for x
    x = 947,994,721,351,869,906,550,784/447,611,931,065
  6. Step 6: Final answer
    x = 2,117,894,219,433.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.