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Finding the Third Proportional to 840,148,469,547.76 and 1,807,720,968,368.20

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Solution

The third proportional to 840,148,469,547.76 and 1,807,720,968,368.20 is: 3,889,616,202,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,148,469,547.76 : 1,807,720,968,368.20 = 1,807,720,968,368.20 : x
  2. Step 2: Convert to fraction form
    840,148,469,547.76/1,807,720,968,368.20 = 1,807,720,968,368.20/x
  3. Step 3: Cross multiply
    840,148,469,547.76x = 1,807,720,968,368.20 × 1,807,720,968,368.20
  4. Step 4: Simplify right side
    840,148,469,547.76x = 3,267,855,099,478,062,682,603,520
  5. Step 5: Solve for x
    x = 3,267,855,099,478,062,682,603,520/840,148,469,547.76
  6. Step 6: Final answer
    x = 3,889,616,202,285.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.