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Finding the Third Proportional to 12,266,289,298 and 26,681,759,050

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Solution

The third proportional to 12,266,289,298 and 26,681,759,050 is: 58,038,437,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266,289,298 : 26,681,759,050 = 26,681,759,050 : x
  2. Step 2: Convert to fraction form
    12,266,289,298/26,681,759,050 = 26,681,759,050/x
  3. Step 3: Cross multiply
    12,266,289,298x = 26,681,759,050 × 26,681,759,050
  4. Step 4: Simplify right side
    12,266,289,298x = 711,916,266,002,256,887,808
  5. Step 5: Solve for x
    x = 711,916,266,002,256,887,808/12,266,289,298
  6. Step 6: Final answer
    x = 58,038,437,599.73

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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.