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Finding the Third Proportional to 70,528,414,704 and 153,453,732,960

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Solution

The third proportional to 70,528,414,704 and 153,453,732,960 is: 333,880,298,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,528,414,704 : 153,453,732,960 = 153,453,732,960 : x
  2. Step 2: Convert to fraction form
    70,528,414,704/153,453,732,960 = 153,453,732,960/x
  3. Step 3: Cross multiply
    70,528,414,704x = 153,453,732,960 × 153,453,732,960
  4. Step 4: Simplify right side
    70,528,414,704x = 23,548,048,159,358,991,728,640
  5. Step 5: Solve for x
    x = 23,548,048,159,358,991,728,640/70,528,414,704
  6. Step 6: Final answer
    x = 333,880,298,574.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.