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Finding the Third Proportional to 1,923,688,572 and 4,201,552,992

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Solution

The third proportional to 1,923,688,572 and 4,201,552,992 is: 9,176,666,016.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,688,572 : 4,201,552,992 = 4,201,552,992 : x
  2. Step 2: Convert to fraction form
    1,923,688,572/4,201,552,992 = 4,201,552,992/x
  3. Step 3: Cross multiply
    1,923,688,572x = 4,201,552,992 × 4,201,552,992
  4. Step 4: Simplify right side
    1,923,688,572x = 17,653,047,544,584,151,040
  5. Step 5: Solve for x
    x = 17,653,047,544,584,151,040/1,923,688,572
  6. Step 6: Final answer
    x = 9,176,666,016.28

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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.