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Finding the Third Proportional to 10,855,866,906 and 23,634,036,666

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Solution

The third proportional to 10,855,866,906 and 23,634,036,666 is: 51,453,070,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855,866,906 : 23,634,036,666 = 23,634,036,666 : x
  2. Step 2: Convert to fraction form
    10,855,866,906/23,634,036,666 = 23,634,036,666/x
  3. Step 3: Cross multiply
    10,855,866,906x = 23,634,036,666 × 23,634,036,666
  4. Step 4: Simplify right side
    10,855,866,906x = 558,567,689,129,832,415,232
  5. Step 5: Solve for x
    x = 558,567,689,129,832,415,232/10,855,866,906
  6. Step 6: Final answer
    x = 51,453,070,857.12

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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.