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Finding the Third Proportional to 833,698,012 and 1,226,297,562

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Solution

The third proportional to 833,698,012 and 1,226,297,562 is: 1,803,777,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,698,012 : 1,226,297,562 = 1,226,297,562 : x
  2. Step 2: Convert to fraction form
    833,698,012/1,226,297,562 = 1,226,297,562/x
  3. Step 3: Cross multiply
    833,698,012x = 1,226,297,562 × 1,226,297,562
  4. Step 4: Simplify right side
    833,698,012x = 1,503,805,710,567,143,936
  5. Step 5: Solve for x
    x = 1,503,805,710,567,143,936/833,698,012
  6. Step 6: Final answer
    x = 1,803,777,493.67

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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.