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Finding the Third Proportional to 833,429,512 and 1,226,052,108

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Solution

The third proportional to 833,429,512 and 1,226,052,108 is: 1,803,636,360.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,429,512 : 1,226,052,108 = 1,226,052,108 : x
  2. Step 2: Convert to fraction form
    833,429,512/1,226,052,108 = 1,226,052,108/x
  3. Step 3: Cross multiply
    833,429,512x = 1,226,052,108 × 1,226,052,108
  4. Step 4: Simplify right side
    833,429,512x = 1,503,203,771,531,243,776
  5. Step 5: Solve for x
    x = 1,503,203,771,531,243,776/833,429,512
  6. Step 6: Final answer
    x = 1,803,636,360.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.