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Finding the Third Proportional to 258,704,347,260 and 562,963,325,156

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Solution

The third proportional to 258,704,347,260 and 562,963,325,156 is: 1,225,057,517,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,704,347,260 : 562,963,325,156 = 562,963,325,156 : x
  2. Step 2: Convert to fraction form
    258,704,347,260/562,963,325,156 = 562,963,325,156/x
  3. Step 3: Cross multiply
    258,704,347,260x = 562,963,325,156 × 562,963,325,156
  4. Step 4: Simplify right side
    258,704,347,260x = 316,927,705,470,700,175,228,928
  5. Step 5: Solve for x
    x = 316,927,705,470,700,175,228,928/258,704,347,260
  6. Step 6: Final answer
    x = 1,225,057,517,692.91

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