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Finding the Third Proportional to 9,241,035,264 and 19,955,197,312

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Solution

The third proportional to 9,241,035,264 and 19,955,197,312 is: 43,091,481,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241,035,264 : 19,955,197,312 = 19,955,197,312 : x
  2. Step 2: Convert to fraction form
    9,241,035,264/19,955,197,312 = 19,955,197,312/x
  3. Step 3: Cross multiply
    9,241,035,264x = 19,955,197,312 × 19,955,197,312
  4. Step 4: Simplify right side
    9,241,035,264x = 398,209,899,760,852,008,960
  5. Step 5: Solve for x
    x = 398,209,899,760,852,008,960/9,241,035,264
  6. Step 6: Final answer
    x = 43,091,481,461.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.