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Finding the Third Proportional to 452,395,905.47 and 976,246,021.69

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Solution

The third proportional to 452,395,905.47 and 976,246,021.69 is: 2,106,686,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,395,905.47 : 976,246,021.69 = 976,246,021.69 : x
  2. Step 2: Convert to fraction form
    452,395,905.47/976,246,021.69 = 976,246,021.69/x
  3. Step 3: Cross multiply
    452,395,905.47x = 976,246,021.69 × 976,246,021.69
  4. Step 4: Simplify right side
    452,395,905.47x = 953,056,294,860,670,720
  5. Step 5: Solve for x
    x = 953,056,294,860,670,720/452,395,905.47
  6. Step 6: Final answer
    x = 2,106,686,385.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.