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Finding the Third Proportional to 9,299,312,147 and 14,360,060,840

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Solution

The third proportional to 9,299,312,147 and 14,360,060,840 is: 22,174,903,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299,312,147 : 14,360,060,840 = 14,360,060,840 : x
  2. Step 2: Convert to fraction form
    9,299,312,147/14,360,060,840 = 14,360,060,840/x
  3. Step 3: Cross multiply
    9,299,312,147x = 14,360,060,840 × 14,360,060,840
  4. Step 4: Simplify right side
    9,299,312,147x = 206,211,347,328,501,514,240
  5. Step 5: Solve for x
    x = 206,211,347,328,501,514,240/9,299,312,147
  6. Step 6: Final answer
    x = 22,174,903,269.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.