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Finding the Third Proportional to 9,703,266,333 and 14,516,110,797

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Solution

The third proportional to 9,703,266,333 and 14,516,110,797 is: 21,716,138,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703,266,333 : 14,516,110,797 = 14,516,110,797 : x
  2. Step 2: Convert to fraction form
    9,703,266,333/14,516,110,797 = 14,516,110,797/x
  3. Step 3: Cross multiply
    9,703,266,333x = 14,516,110,797 × 14,516,110,797
  4. Step 4: Simplify right side
    9,703,266,333x = 210,717,472,670,779,965,440
  5. Step 5: Solve for x
    x = 210,717,472,670,779,965,440/9,703,266,333
  6. Step 6: Final answer
    x = 21,716,138,199.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.