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Finding the Third Proportional to 1,996,527,124 and 4,308,725,864

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Solution

The third proportional to 1,996,527,124 and 4,308,725,864 is: 9,298,705,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,527,124 : 4,308,725,864 = 4,308,725,864 : x
  2. Step 2: Convert to fraction form
    1,996,527,124/4,308,725,864 = 4,308,725,864/x
  3. Step 3: Cross multiply
    1,996,527,124x = 4,308,725,864 × 4,308,725,864
  4. Step 4: Simplify right side
    1,996,527,124x = 18,565,118,571,102,547,968
  5. Step 5: Solve for x
    x = 18,565,118,571,102,547,968/1,996,527,124
  6. Step 6: Final answer
    x = 9,298,705,911.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.