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Finding the Third Proportional to 13,250,418,624 and 28,362,178,368

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Solution

The third proportional to 13,250,418,624 and 28,362,178,368 is: 60,708,509,263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250,418,624 : 28,362,178,368 = 28,362,178,368 : x
  2. Step 2: Convert to fraction form
    13,250,418,624/28,362,178,368 = 28,362,178,368/x
  3. Step 3: Cross multiply
    13,250,418,624x = 28,362,178,368 × 28,362,178,368
  4. Step 4: Simplify right side
    13,250,418,624x = 804,413,161,778,247,106,560
  5. Step 5: Solve for x
    x = 804,413,161,778,247,106,560/13,250,418,624
  6. Step 6: Final answer
    x = 60,708,509,263.34

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Why These Related Problems?

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