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Finding the Third Proportional to 286,956,078 and 456,823,953

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Solution

The third proportional to 286,956,078 and 456,823,953 is: 727,247,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,956,078 : 456,823,953 = 456,823,953 : x
  2. Step 2: Convert to fraction form
    286,956,078/456,823,953 = 456,823,953/x
  3. Step 3: Cross multiply
    286,956,078x = 456,823,953 × 456,823,953
  4. Step 4: Simplify right side
    286,956,078x = 208,688,124,034,546,208
  5. Step 5: Solve for x
    x = 208,688,124,034,546,208/286,956,078
  6. Step 6: Final answer
    x = 727,247,617.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.