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Finding the Third Proportional to 2,046,912,563 and 2,925,085,477

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Solution

The third proportional to 2,046,912,563 and 2,925,085,477 is: 4,180,014,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,912,563 : 2,925,085,477 = 2,925,085,477 : x
  2. Step 2: Convert to fraction form
    2,046,912,563/2,925,085,477 = 2,925,085,477/x
  3. Step 3: Cross multiply
    2,046,912,563x = 2,925,085,477 × 2,925,085,477
  4. Step 4: Simplify right side
    2,046,912,563x = 8,556,125,047,756,317,696
  5. Step 5: Solve for x
    x = 8,556,125,047,756,317,696/2,046,912,563
  6. Step 6: Final answer
    x = 4,180,014,917.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.