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Finding the Third Proportional to 407,556,699.19 and 895,179,076.03

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Solution

The third proportional to 407,556,699.19 and 895,179,076.03 is: 1,966,218,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,556,699.19 : 895,179,076.03 = 895,179,076.03 : x
  2. Step 2: Convert to fraction form
    407,556,699.19/895,179,076.03 = 895,179,076.03/x
  3. Step 3: Cross multiply
    407,556,699.19x = 895,179,076.03 × 895,179,076.03
  4. Step 4: Simplify right side
    407,556,699.19x = 801,345,578,164,162,432
  5. Step 5: Solve for x
    x = 801,345,578,164,162,432/407,556,699.19
  6. Step 6: Final answer
    x = 1,966,218,638.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.