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Finding the Third Proportional to 46,307,413 and 100,685,780

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Solution

The third proportional to 46,307,413 and 100,685,780 is: 218,920,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,307,413 : 100,685,780 = 100,685,780 : x
  2. Step 2: Convert to fraction form
    46,307,413/100,685,780 = 100,685,780/x
  3. Step 3: Cross multiply
    46,307,413x = 100,685,780 × 100,685,780
  4. Step 4: Simplify right side
    46,307,413x = 10,137,626,294,208,400
  5. Step 5: Solve for x
    x = 10,137,626,294,208,400/46,307,413
  6. Step 6: Final answer
    x = 218,920,160.67

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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.