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Finding the Third Proportional to 59,984,168,612 and 128,995,748,344

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Solution

The third proportional to 59,984,168,612 and 128,995,748,344 is: 277,404,913,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,984,168,612 : 128,995,748,344 = 128,995,748,344 : x
  2. Step 2: Convert to fraction form
    59,984,168,612/128,995,748,344 = 128,995,748,344/x
  3. Step 3: Cross multiply
    59,984,168,612x = 128,995,748,344 × 128,995,748,344
  4. Step 4: Simplify right side
    59,984,168,612x = 16,639,903,090,828,579,438,592
  5. Step 5: Solve for x
    x = 16,639,903,090,828,579,438,592/59,984,168,612
  6. Step 6: Final answer
    x = 277,404,913,260.73

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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.