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Finding the Third Proportional to 408,816,745,273 and 889,621,054,688

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Solution

The third proportional to 408,816,745,273 and 889,621,054,688 is: 1,935,893,355,874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,816,745,273 : 889,621,054,688 = 889,621,054,688 : x
  2. Step 2: Convert to fraction form
    408,816,745,273/889,621,054,688 = 889,621,054,688/x
  3. Step 3: Cross multiply
    408,816,745,273x = 889,621,054,688 × 889,621,054,688
  4. Step 4: Simplify right side
    408,816,745,273x = 791,425,620,944,189,535,551,488
  5. Step 5: Solve for x
    x = 791,425,620,944,189,535,551,488/408,816,745,273
  6. Step 6: Final answer
    x = 1,935,893,355,874.38

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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.