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Finding the Third Proportional to 46,948,594 and 100,358,270

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Solution

The third proportional to 46,948,594 and 100,358,270 is: 214,527,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948,594 : 100,358,270 = 100,358,270 : x
  2. Step 2: Convert to fraction form
    46,948,594/100,358,270 = 100,358,270/x
  3. Step 3: Cross multiply
    46,948,594x = 100,358,270 × 100,358,270
  4. Step 4: Simplify right side
    46,948,594x = 10,071,782,357,392,900
  5. Step 5: Solve for x
    x = 10,071,782,357,392,900/46,948,594
  6. Step 6: Final answer
    x = 214,527,880.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.