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Finding the Third Proportional to 1,382,771,997 and 3,041,354,088

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Solution

The third proportional to 1,382,771,997 and 3,041,354,088 is: 6,689,341,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,771,997 : 3,041,354,088 = 3,041,354,088 : x
  2. Step 2: Convert to fraction form
    1,382,771,997/3,041,354,088 = 3,041,354,088/x
  3. Step 3: Cross multiply
    1,382,771,997x = 3,041,354,088 × 3,041,354,088
  4. Step 4: Simplify right side
    1,382,771,997x = 9,249,834,688,594,311,168
  5. Step 5: Solve for x
    x = 9,249,834,688,594,311,168/1,382,771,997
  6. Step 6: Final answer
    x = 6,689,341,922.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.