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Finding the Third Proportional to 1,088,122,572 and 2,360,987,320

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Solution

The third proportional to 1,088,122,572 and 2,360,987,320 is: 5,122,824,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088,122,572 : 2,360,987,320 = 2,360,987,320 : x
  2. Step 2: Convert to fraction form
    1,088,122,572/2,360,987,320 = 2,360,987,320/x
  3. Step 3: Cross multiply
    1,088,122,572x = 2,360,987,320 × 2,360,987,320
  4. Step 4: Simplify right side
    1,088,122,572x = 5,574,261,125,200,782,336
  5. Step 5: Solve for x
    x = 5,574,261,125,200,782,336/1,088,122,572
  6. Step 6: Final answer
    x = 5,122,824,641.86

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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.