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Finding the Third Proportional to 20,953,724 and 31,301,547

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Solution

The third proportional to 20,953,724 and 31,301,547 is: 46,759,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953,724 : 31,301,547 = 31,301,547 : x
  2. Step 2: Convert to fraction form
    20,953,724/31,301,547 = 31,301,547/x
  3. Step 3: Cross multiply
    20,953,724x = 31,301,547 × 31,301,547
  4. Step 4: Simplify right side
    20,953,724x = 979,786,844,593,209
  5. Step 5: Solve for x
    x = 979,786,844,593,209/20,953,724
  6. Step 6: Final answer
    x = 46,759,556.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.