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Finding the Third Proportional to 29,421,860 and 45,672,440

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Solution

The third proportional to 29,421,860 and 45,672,440 is: 70,898,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,421,860 : 45,672,440 = 45,672,440 : x
  2. Step 2: Convert to fraction form
    29,421,860/45,672,440 = 45,672,440/x
  3. Step 3: Cross multiply
    29,421,860x = 45,672,440 × 45,672,440
  4. Step 4: Simplify right side
    29,421,860x = 2,085,971,775,553,600
  5. Step 5: Solve for x
    x = 2,085,971,775,553,600/29,421,860
  6. Step 6: Final answer
    x = 70,898,705.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.