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Finding the Third Proportional to 810,509,952 and 1,911,407,616

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Solution

The third proportional to 810,509,952 and 1,911,407,616 is: 4,507,630,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,509,952 : 1,911,407,616 = 1,911,407,616 : x
  2. Step 2: Convert to fraction form
    810,509,952/1,911,407,616 = 1,911,407,616/x
  3. Step 3: Cross multiply
    810,509,952x = 1,911,407,616 × 1,911,407,616
  4. Step 4: Simplify right side
    810,509,952x = 3,653,479,074,502,803,456
  5. Step 5: Solve for x
    x = 3,653,479,074,502,803,456/810,509,952
  6. Step 6: Final answer
    x = 4,507,630,122.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.