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Finding the Third Proportional to 4,698,225 and 10,259,343

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Solution

The third proportional to 4,698,225 and 10,259,343 is: 22,402,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698,225 : 10,259,343 = 10,259,343 : x
  2. Step 2: Convert to fraction form
    4,698,225/10,259,343 = 10,259,343/x
  3. Step 3: Cross multiply
    4,698,225x = 10,259,343 × 10,259,343
  4. Step 4: Simplify right side
    4,698,225x = 105,254,118,791,649
  5. Step 5: Solve for x
    x = 105,254,118,791,649/4,698,225
  6. Step 6: Final answer
    x = 22,402,954.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.