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Finding the Third Proportional to 94,748,300,018 and 210,680,967,574

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Solution

The third proportional to 94,748,300,018 and 210,680,967,574 is: 468,467,192,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,748,300,018 : 210,680,967,574 = 210,680,967,574 : x
  2. Step 2: Convert to fraction form
    94,748,300,018/210,680,967,574 = 210,680,967,574/x
  3. Step 3: Cross multiply
    94,748,300,018x = 210,680,967,574 × 210,680,967,574
  4. Step 4: Simplify right side
    94,748,300,018x = 44,386,470,097,916,836,970,496
  5. Step 5: Solve for x
    x = 44,386,470,097,916,836,970,496/94,748,300,018
  6. Step 6: Final answer
    x = 468,467,192,440.23

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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.