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Finding the Third Proportional to 30,804,228,264 and 67,513,828,920

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Solution

The third proportional to 30,804,228,264 and 67,513,828,920 is: 147,970,501,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804,228,264 : 67,513,828,920 = 67,513,828,920 : x
  2. Step 2: Convert to fraction form
    30,804,228,264/67,513,828,920 = 67,513,828,920/x
  3. Step 3: Cross multiply
    30,804,228,264x = 67,513,828,920 × 67,513,828,920
  4. Step 4: Simplify right side
    30,804,228,264x = 4,558,117,095,439,028,191,232
  5. Step 5: Solve for x
    x = 4,558,117,095,439,028,191,232/30,804,228,264
  6. Step 6: Final answer
    x = 147,970,501,204.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.