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Finding the Third Proportional to 657,942,344 and 1,445,009,038

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Solution

The third proportional to 657,942,344 and 1,445,009,038 is: 3,173,608,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,942,344 : 1,445,009,038 = 1,445,009,038 : x
  2. Step 2: Convert to fraction form
    657,942,344/1,445,009,038 = 1,445,009,038/x
  3. Step 3: Cross multiply
    657,942,344x = 1,445,009,038 × 1,445,009,038
  4. Step 4: Simplify right side
    657,942,344x = 2,088,051,119,901,685,504
  5. Step 5: Solve for x
    x = 2,088,051,119,901,685,504/657,942,344
  6. Step 6: Final answer
    x = 3,173,608,050.83

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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.