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Finding the Third Proportional to 70,154,381,896 and 165,551,785,564

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Solution

The third proportional to 70,154,381,896 and 165,551,785,564 is: 390,672,584,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,154,381,896 : 165,551,785,564 = 165,551,785,564 : x
  2. Step 2: Convert to fraction form
    70,154,381,896/165,551,785,564 = 165,551,785,564/x
  3. Step 3: Cross multiply
    70,154,381,896x = 165,551,785,564 × 165,551,785,564
  4. Step 4: Simplify right side
    70,154,381,896x = 27,407,393,703,428,639,162,368
  5. Step 5: Solve for x
    x = 27,407,393,703,428,639,162,368/70,154,381,896
  6. Step 6: Final answer
    x = 390,672,584,701.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.