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Finding the Third Proportional to 1,151,539,880 and 2,507,536,720

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Solution

The third proportional to 1,151,539,880 and 2,507,536,720 is: 5,460,288,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,539,880 : 2,507,536,720 = 2,507,536,720 : x
  2. Step 2: Convert to fraction form
    1,151,539,880/2,507,536,720 = 2,507,536,720/x
  3. Step 3: Cross multiply
    1,151,539,880x = 2,507,536,720 × 2,507,536,720
  4. Step 4: Simplify right side
    1,151,539,880x = 6,287,740,402,148,358,144
  5. Step 5: Solve for x
    x = 6,287,740,402,148,358,144/1,151,539,880
  6. Step 6: Final answer
    x = 5,460,288,880.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.