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Finding the Third Proportional to 286,161,370 and 619,862,263

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Solution

The third proportional to 286,161,370 and 619,862,263 is: 1,342,701,235.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,161,370 : 619,862,263 = 619,862,263 : x
  2. Step 2: Convert to fraction form
    286,161,370/619,862,263 = 619,862,263/x
  3. Step 3: Cross multiply
    286,161,370x = 619,862,263 × 619,862,263
  4. Step 4: Simplify right side
    286,161,370x = 384,229,225,091,481,152
  5. Step 5: Solve for x
    x = 384,229,225,091,481,152/286,161,370
  6. Step 6: Final answer
    x = 1,342,701,235.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.