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Finding the Third Proportional to 376,506,097 and 550,310,001

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Solution

The third proportional to 376,506,097 and 550,310,001 is: 804,345,798.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,506,097 : 550,310,001 = 550,310,001 : x
  2. Step 2: Convert to fraction form
    376,506,097/550,310,001 = 550,310,001/x
  3. Step 3: Cross multiply
    376,506,097x = 550,310,001 × 550,310,001
  4. Step 4: Simplify right side
    376,506,097x = 302,841,097,200,620,032
  5. Step 5: Solve for x
    x = 302,841,097,200,620,032/376,506,097
  6. Step 6: Final answer
    x = 804,345,798.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.