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Finding the Third Proportional to 960,090,960 and 2,094,626,488

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Solution

The third proportional to 960,090,960 and 2,094,626,488 is: 4,569,837,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,090,960 : 2,094,626,488 = 2,094,626,488 : x
  2. Step 2: Convert to fraction form
    960,090,960/2,094,626,488 = 2,094,626,488/x
  3. Step 3: Cross multiply
    960,090,960x = 2,094,626,488 × 2,094,626,488
  4. Step 4: Simplify right side
    960,090,960x = 4,387,460,124,231,214,080
  5. Step 5: Solve for x
    x = 4,387,460,124,231,214,080/960,090,960
  6. Step 6: Final answer
    x = 4,569,837,970.59

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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.