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Finding the Third Proportional to 364,592,907 and 798,342,021

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Solution

The third proportional to 364,592,907 and 798,342,021 is: 1,748,114,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,592,907 : 798,342,021 = 798,342,021 : x
  2. Step 2: Convert to fraction form
    364,592,907/798,342,021 = 798,342,021/x
  3. Step 3: Cross multiply
    364,592,907x = 798,342,021 × 798,342,021
  4. Step 4: Simplify right side
    364,592,907x = 637,349,982,494,364,416
  5. Step 5: Solve for x
    x = 637,349,982,494,364,416/364,592,907
  6. Step 6: Final answer
    x = 1,748,114,047.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.