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Finding the Third Proportional to 21,680,947 and 46,934,308

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Solution

The third proportional to 21,680,947 and 46,934,308 is: 101,602,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680,947 : 46,934,308 = 46,934,308 : x
  2. Step 2: Convert to fraction form
    21,680,947/46,934,308 = 46,934,308/x
  3. Step 3: Cross multiply
    21,680,947x = 46,934,308 × 46,934,308
  4. Step 4: Simplify right side
    21,680,947x = 2,202,829,267,438,864
  5. Step 5: Solve for x
    x = 2,202,829,267,438,864/21,680,947
  6. Step 6: Final answer
    x = 101,602,077.96

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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.