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Finding the Third Proportional to 14,577,720,972 and 21,771,054,942

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Solution

The third proportional to 14,577,720,972 and 21,771,054,942 is: 32,513,918,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577,720,972 : 21,771,054,942 = 21,771,054,942 : x
  2. Step 2: Convert to fraction form
    14,577,720,972/21,771,054,942 = 21,771,054,942/x
  3. Step 3: Cross multiply
    14,577,720,972x = 21,771,054,942 × 21,771,054,942
  4. Step 4: Simplify right side
    14,577,720,972x = 473,978,833,287,582,646,272
  5. Step 5: Solve for x
    x = 473,978,833,287,582,646,272/14,577,720,972
  6. Step 6: Final answer
    x = 32,513,918,615.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.