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Finding the Third Proportional to 174,911,441 and 382,772,362

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Solution

The third proportional to 174,911,441 and 382,772,362 is: 837,650,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,911,441 : 382,772,362 = 382,772,362 : x
  2. Step 2: Convert to fraction form
    174,911,441/382,772,362 = 382,772,362/x
  3. Step 3: Cross multiply
    174,911,441x = 382,772,362 × 382,772,362
  4. Step 4: Simplify right side
    174,911,441x = 146,514,681,111,059,040
  5. Step 5: Solve for x
    x = 146,514,681,111,059,040/174,911,441
  6. Step 6: Final answer
    x = 837,650,643.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.