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Finding the Third Proportional to 1,048,500,414 and 2,271,470,940

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Solution

The third proportional to 1,048,500,414 and 2,271,470,940 is: 4,920,913,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,500,414 : 2,271,470,940 = 2,271,470,940 : x
  2. Step 2: Convert to fraction form
    1,048,500,414/2,271,470,940 = 2,271,470,940/x
  3. Step 3: Cross multiply
    1,048,500,414x = 2,271,470,940 × 2,271,470,940
  4. Step 4: Simplify right side
    1,048,500,414x = 5,159,580,231,264,483,328
  5. Step 5: Solve for x
    x = 5,159,580,231,264,483,328/1,048,500,414
  6. Step 6: Final answer
    x = 4,920,913,871.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.