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Finding the Third Proportional to 234,330,207,012 and 508,607,771,124

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Solution

The third proportional to 234,330,207,012 and 508,607,771,124 is: 1,103,920,267,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,330,207,012 : 508,607,771,124 = 508,607,771,124 : x
  2. Step 2: Convert to fraction form
    234,330,207,012/508,607,771,124 = 508,607,771,124/x
  3. Step 3: Cross multiply
    234,330,207,012x = 508,607,771,124 × 508,607,771,124
  4. Step 4: Simplify right side
    234,330,207,012x = 258,681,864,847,723,159,617,536
  5. Step 5: Solve for x
    x = 258,681,864,847,723,159,617,536/234,330,207,012
  6. Step 6: Final answer
    x = 1,103,920,267,669.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.