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Finding the Third Proportional to 216,211,630 and 466,435,430

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Solution

The third proportional to 216,211,630 and 466,435,430 is: 1,006,245,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,211,630 : 466,435,430 = 466,435,430 : x
  2. Step 2: Convert to fraction form
    216,211,630/466,435,430 = 466,435,430/x
  3. Step 3: Cross multiply
    216,211,630x = 466,435,430 × 466,435,430
  4. Step 4: Simplify right side
    216,211,630x = 217,562,010,359,284,896
  5. Step 5: Solve for x
    x = 217,562,010,359,284,896/216,211,630
  6. Step 6: Final answer
    x = 1,006,245,641.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.