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Finding the Third Proportional to 21,489,071,318 and 46,243,316,140

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Solution

The third proportional to 21,489,071,318 and 46,243,316,140 is: 99,513,108,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489,071,318 : 46,243,316,140 = 46,243,316,140 : x
  2. Step 2: Convert to fraction form
    21,489,071,318/46,243,316,140 = 46,243,316,140/x
  3. Step 3: Cross multiply
    21,489,071,318x = 46,243,316,140 × 46,243,316,140
  4. Step 4: Simplify right side
    21,489,071,318x = 2,138,444,287,623,984,578,560
  5. Step 5: Solve for x
    x = 2,138,444,287,623,984,578,560/21,489,071,318
  6. Step 6: Final answer
    x = 99,513,108,592.68

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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.