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Finding the Third Proportional to 6,255,477,346 and 9,178,714,335

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Solution

The third proportional to 6,255,477,346 and 9,178,714,335 is: 13,468,004,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,255,477,346 : 9,178,714,335 = 9,178,714,335 : x
  2. Step 2: Convert to fraction form
    6,255,477,346/9,178,714,335 = 9,178,714,335/x
  3. Step 3: Cross multiply
    6,255,477,346x = 9,178,714,335 × 9,178,714,335
  4. Step 4: Simplify right side
    6,255,477,346x = 84,248,796,843,534,499,840
  5. Step 5: Solve for x
    x = 84,248,796,843,534,499,840/6,255,477,346
  6. Step 6: Final answer
    x = 13,468,004,467.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.