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Finding the Third Proportional to 10,197,292,219 and 21,944,266,870

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Solution

The third proportional to 10,197,292,219 and 21,944,266,870 is: 47,223,403,833.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197,292,219 : 21,944,266,870 = 21,944,266,870 : x
  2. Step 2: Convert to fraction form
    10,197,292,219/21,944,266,870 = 21,944,266,870/x
  3. Step 3: Cross multiply
    10,197,292,219x = 21,944,266,870 × 21,944,266,870
  4. Step 4: Simplify right side
    10,197,292,219x = 481,550,848,461,779,566,592
  5. Step 5: Solve for x
    x = 481,550,848,461,779,566,592/10,197,292,219
  6. Step 6: Final answer
    x = 47,223,403,833.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.