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Finding the Third Proportional to 6,461,254,838 and 14,054,588,392

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Solution

The third proportional to 6,461,254,838 and 14,054,588,392 is: 30,571,686,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,254,838 : 14,054,588,392 = 14,054,588,392 : x
  2. Step 2: Convert to fraction form
    6,461,254,838/14,054,588,392 = 14,054,588,392/x
  3. Step 3: Cross multiply
    6,461,254,838x = 14,054,588,392 × 14,054,588,392
  4. Step 4: Simplify right side
    6,461,254,838x = 197,531,454,868,541,145,088
  5. Step 5: Solve for x
    x = 197,531,454,868,541,145,088/6,461,254,838
  6. Step 6: Final answer
    x = 30,571,686,123.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.