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Finding the Third Proportional to 448,941,117,186 and 976,913,975,844

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Solution

The third proportional to 448,941,117,186 and 976,913,975,844 is: 2,125,804,208,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,941,117,186 : 976,913,975,844 = 976,913,975,844 : x
  2. Step 2: Convert to fraction form
    448,941,117,186/976,913,975,844 = 976,913,975,844/x
  3. Step 3: Cross multiply
    448,941,117,186x = 976,913,975,844 × 976,913,975,844
  4. Step 4: Simplify right side
    448,941,117,186x = 954,360,916,199,331,392,913,408
  5. Step 5: Solve for x
    x = 954,360,916,199,331,392,913,408/448,941,117,186
  6. Step 6: Final answer
    x = 2,125,804,208,314.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.