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Finding the Third Proportional to 7,896,004,784 and 12,265,705,584

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Solution

The third proportional to 7,896,004,784 and 12,265,705,584 is: 19,053,627,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896,004,784 : 12,265,705,584 = 12,265,705,584 : x
  2. Step 2: Convert to fraction form
    7,896,004,784/12,265,705,584 = 12,265,705,584/x
  3. Step 3: Cross multiply
    7,896,004,784x = 12,265,705,584 × 12,265,705,584
  4. Step 4: Simplify right side
    7,896,004,784x = 150,447,533,473,368,768,512
  5. Step 5: Solve for x
    x = 150,447,533,473,368,768,512/7,896,004,784
  6. Step 6: Final answer
    x = 19,053,627,446.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.