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Finding the Third Proportional to 909,401,904 and 1,971,739,368

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Solution

The third proportional to 909,401,904 and 1,971,739,368 is: 4,275,069,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,401,904 : 1,971,739,368 = 1,971,739,368 : x
  2. Step 2: Convert to fraction form
    909,401,904/1,971,739,368 = 1,971,739,368/x
  3. Step 3: Cross multiply
    909,401,904x = 1,971,739,368 × 1,971,739,368
  4. Step 4: Simplify right side
    909,401,904x = 3,887,756,135,321,039,360
  5. Step 5: Solve for x
    x = 3,887,756,135,321,039,360/909,401,904
  6. Step 6: Final answer
    x = 4,275,069,271.60

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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.