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Finding the Third Proportional to 1,923,688,651 and 4,201,553,144

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Solution

The third proportional to 1,923,688,651 and 4,201,553,144 is: 9,176,666,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,688,651 : 4,201,553,144 = 4,201,553,144 : x
  2. Step 2: Convert to fraction form
    1,923,688,651/4,201,553,144 = 4,201,553,144/x
  3. Step 3: Cross multiply
    1,923,688,651x = 4,201,553,144 × 4,201,553,144
  4. Step 4: Simplify right side
    1,923,688,651x = 17,653,048,821,856,284,672
  5. Step 5: Solve for x
    x = 17,653,048,821,856,284,672/1,923,688,651
  6. Step 6: Final answer
    x = 9,176,666,303.40

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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.