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Finding the Third Proportional to 2,153,751,612 and 4,684,862,796

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Solution

The third proportional to 2,153,751,612 and 4,684,862,796 is: 10,190,562,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,751,612 : 4,684,862,796 = 4,684,862,796 : x
  2. Step 2: Convert to fraction form
    2,153,751,612/4,684,862,796 = 4,684,862,796/x
  3. Step 3: Cross multiply
    2,153,751,612x = 4,684,862,796 × 4,684,862,796
  4. Step 4: Simplify right side
    2,153,751,612x = 21,947,939,417,344,937,984
  5. Step 5: Solve for x
    x = 21,947,939,417,344,937,984/2,153,751,612
  6. Step 6: Final answer
    x = 10,190,562,038.38

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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.