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Finding the Third Proportional to 2,153,751,628 and 4,684,862,828

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Solution

The third proportional to 2,153,751,628 and 4,684,862,828 is: 10,190,562,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,751,628 : 4,684,862,828 = 4,684,862,828 : x
  2. Step 2: Convert to fraction form
    2,153,751,628/4,684,862,828 = 4,684,862,828/x
  3. Step 3: Cross multiply
    2,153,751,628x = 4,684,862,828 × 4,684,862,828
  4. Step 4: Simplify right side
    2,153,751,628x = 21,947,939,717,176,156,160
  5. Step 5: Solve for x
    x = 21,947,939,717,176,156,160/2,153,751,628
  6. Step 6: Final answer
    x = 10,190,562,101.89

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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.