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Finding the Third Proportional to 448,941,117,265 and 976,913,976,001

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Solution

The third proportional to 448,941,117,265 and 976,913,976,001 is: 2,125,804,208,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,941,117,265 : 976,913,976,001 = 976,913,976,001 : x
  2. Step 2: Convert to fraction form
    448,941,117,265/976,913,976,001 = 976,913,976,001/x
  3. Step 3: Cross multiply
    448,941,117,265x = 976,913,976,001 × 976,913,976,001
  4. Step 4: Simplify right side
    448,941,117,265x = 954,360,916,506,082,386,378,752
  5. Step 5: Solve for x
    x = 954,360,916,506,082,386,378,752/448,941,117,265
  6. Step 6: Final answer
    x = 2,125,804,208,623.52

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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.