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Finding the Third Proportional to 42,430,658,328 and 92,394,492,864

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Solution

The third proportional to 42,430,658,328 and 92,394,492,864 is: 201,192,784,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,430,658,328 : 92,394,492,864 = 92,394,492,864 : x
  2. Step 2: Convert to fraction form
    42,430,658,328/92,394,492,864 = 92,394,492,864/x
  3. Step 3: Cross multiply
    42,430,658,328x = 92,394,492,864 × 92,394,492,864
  4. Step 4: Simplify right side
    42,430,658,328x = 8,536,742,311,595,746,525,184
  5. Step 5: Solve for x
    x = 8,536,742,311,595,746,525,184/42,430,658,328
  6. Step 6: Final answer
    x = 201,192,784,839.79

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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.