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Finding the Third Proportional to 240,264,323,856 and 363,488,763,168

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Solution

The third proportional to 240,264,323,856 and 363,488,763,168 is: 549,911,359,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,264,323,856 : 363,488,763,168 = 363,488,763,168 : x
  2. Step 2: Convert to fraction form
    240,264,323,856/363,488,763,168 = 363,488,763,168/x
  3. Step 3: Cross multiply
    240,264,323,856x = 363,488,763,168 × 363,488,763,168
  4. Step 4: Simplify right side
    240,264,323,856x = 132,124,080,949,402,387,087,360
  5. Step 5: Solve for x
    x = 132,124,080,949,402,387,087,360/240,264,323,856
  6. Step 6: Final answer
    x = 549,911,359,410.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.