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Finding the Third Proportional to 979,480,196 and 1,497,707,152

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Solution

The third proportional to 979,480,196 and 1,497,707,152 is: 2,290,119,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,480,196 : 1,497,707,152 = 1,497,707,152 : x
  2. Step 2: Convert to fraction form
    979,480,196/1,497,707,152 = 1,497,707,152/x
  3. Step 3: Cross multiply
    979,480,196x = 1,497,707,152 × 1,497,707,152
  4. Step 4: Simplify right side
    979,480,196x = 2,243,126,713,151,951,104
  5. Step 5: Solve for x
    x = 2,243,126,713,151,951,104/979,480,196
  6. Step 6: Final answer
    x = 2,290,119,516.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.