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Finding the Third Proportional to 10,203,547 and 22,397,507

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Solution

The third proportional to 10,203,547 and 22,397,507 is: 49,164,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,547 : 22,397,507 = 22,397,507 : x
  2. Step 2: Convert to fraction form
    10,203,547/22,397,507 = 22,397,507/x
  3. Step 3: Cross multiply
    10,203,547x = 22,397,507 × 22,397,507
  4. Step 4: Simplify right side
    10,203,547x = 501,648,319,815,049
  5. Step 5: Solve for x
    x = 501,648,319,815,049/10,203,547
  6. Step 6: Final answer
    x = 49,164,111.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.