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Finding the Third Proportional to 21,547,323 and 46,513,170

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Solution

The third proportional to 21,547,323 and 46,513,170 is: 100,405,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547,323 : 46,513,170 = 46,513,170 : x
  2. Step 2: Convert to fraction form
    21,547,323/46,513,170 = 46,513,170/x
  3. Step 3: Cross multiply
    21,547,323x = 46,513,170 × 46,513,170
  4. Step 4: Simplify right side
    21,547,323x = 2,163,474,983,448,900
  5. Step 5: Solve for x
    x = 2,163,474,983,448,900/21,547,323
  6. Step 6: Final answer
    x = 100,405,743.37

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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.