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Finding the Third Proportional to 909,410,596,744 and 1,956,750,103,294

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Solution

The third proportional to 909,410,596,744 and 1,956,750,103,294 is: 4,210,277,492,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,410,596,744 : 1,956,750,103,294 = 1,956,750,103,294 : x
  2. Step 2: Convert to fraction form
    909,410,596,744/1,956,750,103,294 = 1,956,750,103,294/x
  3. Step 3: Cross multiply
    909,410,596,744x = 1,956,750,103,294 × 1,956,750,103,294
  4. Step 4: Simplify right side
    909,410,596,744x = 3,828,870,966,741,079,638,933,504
  5. Step 5: Solve for x
    x = 3,828,870,966,741,079,638,933,504/909,410,596,744
  6. Step 6: Final answer
    x = 4,210,277,492,311.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.