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Finding the Third Proportional to 448,941,117,262.50 and 976,913,975,997

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Solution

The third proportional to 448,941,117,262.50 and 976,913,975,997 is: 2,125,804,208,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,941,117,262.50 : 976,913,975,997 = 976,913,975,997 : x
  2. Step 2: Convert to fraction form
    448,941,117,262.50/976,913,975,997 = 976,913,975,997/x
  3. Step 3: Cross multiply
    448,941,117,262.50x = 976,913,975,997 × 976,913,975,997
  4. Step 4: Simplify right side
    448,941,117,262.50x = 954,360,916,498,267,156,512,768
  5. Step 5: Solve for x
    x = 954,360,916,498,267,156,512,768/448,941,117,262.50
  6. Step 6: Final answer
    x = 2,125,804,208,617.95

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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.