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Finding the Third Proportional to 94,748,300,016 and 210,680,967,570

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Solution

The third proportional to 94,748,300,016 and 210,680,967,570 is: 468,467,192,432.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,748,300,016 : 210,680,967,570 = 210,680,967,570 : x
  2. Step 2: Convert to fraction form
    94,748,300,016/210,680,967,570 = 210,680,967,570/x
  3. Step 3: Cross multiply
    94,748,300,016x = 210,680,967,570 × 210,680,967,570
  4. Step 4: Simplify right side
    94,748,300,016x = 44,386,470,096,231,389,462,528
  5. Step 5: Solve for x
    x = 44,386,470,096,231,389,462,528/94,748,300,016
  6. Step 6: Final answer
    x = 468,467,192,432.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.