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Finding the Third Proportional to 12,266,840,808 and 26,256,881,226

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Solution

The third proportional to 12,266,840,808 and 26,256,881,226 is: 56,202,230,265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266,840,808 : 26,256,881,226 = 26,256,881,226 : x
  2. Step 2: Convert to fraction form
    12,266,840,808/26,256,881,226 = 26,256,881,226/x
  3. Step 3: Cross multiply
    12,266,840,808x = 26,256,881,226 × 26,256,881,226
  4. Step 4: Simplify right side
    12,266,840,808x = 689,423,811,716,271,308,800
  5. Step 5: Solve for x
    x = 689,423,811,716,271,308,800/12,266,840,808
  6. Step 6: Final answer
    x = 56,202,230,265.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.