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Finding the Third Proportional to 7,888,908,006,332 and 16,965,069,540,141

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Solution

The third proportional to 7,888,908,006,332 and 16,965,069,540,141 is: 36,483,323,708,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888,908,006,332 : 16,965,069,540,141 = 16,965,069,540,141 : x
  2. Step 2: Convert to fraction form
    7,888,908,006,332/16,965,069,540,141 = 16,965,069,540,141/x
  3. Step 3: Cross multiply
    7,888,908,006,332x = 16,965,069,540,141 × 16,965,069,540,141
  4. Step 4: Simplify right side
    7,888,908,006,332x = 287,813,584,501,819,952,915,808,256
  5. Step 5: Solve for x
    x = 287,813,584,501,819,952,915,808,256/7,888,908,006,332
  6. Step 6: Final answer
    x = 36,483,323,708,529.44

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1.5x scale

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.