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Finding the Third Proportional to 21,489,071,328 and 46,243,316,160

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Solution

The third proportional to 21,489,071,328 and 46,243,316,160 is: 99,513,108,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489,071,328 : 46,243,316,160 = 46,243,316,160 : x
  2. Step 2: Convert to fraction form
    21,489,071,328/46,243,316,160 = 46,243,316,160/x
  3. Step 3: Cross multiply
    21,489,071,328x = 46,243,316,160 × 46,243,316,160
  4. Step 4: Simplify right side
    21,489,071,328x = 2,138,444,289,473,717,207,040
  5. Step 5: Solve for x
    x = 2,138,444,289,473,717,207,040/21,489,071,328
  6. Step 6: Final answer
    x = 99,513,108,632.45

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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.