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Finding the Third Proportional to 10,846,330,794 and 23,502,666,312

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Solution

The third proportional to 10,846,330,794 and 23,502,666,312 is: 50,927,390,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846,330,794 : 23,502,666,312 = 23,502,666,312 : x
  2. Step 2: Convert to fraction form
    10,846,330,794/23,502,666,312 = 23,502,666,312/x
  3. Step 3: Cross multiply
    10,846,330,794x = 23,502,666,312 × 23,502,666,312
  4. Step 4: Simplify right side
    10,846,330,794x = 552,375,323,773,219,700,736
  5. Step 5: Solve for x
    x = 552,375,323,773,219,700,736/10,846,330,794
  6. Step 6: Final answer
    x = 50,927,390,494.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.