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Finding the Third Proportional to 487,775,877,094 and 1,056,605,009,852

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Solution

The third proportional to 487,775,877,094 and 1,056,605,009,852 is: 2,288,785,073,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,775,877,094 : 1,056,605,009,852 = 1,056,605,009,852 : x
  2. Step 2: Convert to fraction form
    487,775,877,094/1,056,605,009,852 = 1,056,605,009,852/x
  3. Step 3: Cross multiply
    487,775,877,094x = 1,056,605,009,852 × 1,056,605,009,852
  4. Step 4: Simplify right side
    487,775,877,094x = 1,116,414,146,844,344,962,777,088
  5. Step 5: Solve for x
    x = 1,116,414,146,844,344,962,777,088/487,775,877,094
  6. Step 6: Final answer
    x = 2,288,785,073,783.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.