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Finding the Third Proportional to 483,460,675 and 1,035,842,368

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Solution

The third proportional to 483,460,675 and 1,035,842,368 is: 2,219,351,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,460,675 : 1,035,842,368 = 1,035,842,368 : x
  2. Step 2: Convert to fraction form
    483,460,675/1,035,842,368 = 1,035,842,368/x
  3. Step 3: Cross multiply
    483,460,675x = 1,035,842,368 × 1,035,842,368
  4. Step 4: Simplify right side
    483,460,675x = 1,072,969,411,343,847,424
  5. Step 5: Solve for x
    x = 1,072,969,411,343,847,424/483,460,675
  6. Step 6: Final answer
    x = 2,219,351,990.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.