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Finding the Third Proportional to 22,076,610,845,346 and 48,307,919,014,728

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Solution

The third proportional to 22,076,610,845,346 and 48,307,919,014,728 is: 105,707,123,973,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076,610,845,346 : 48,307,919,014,728 = 48,307,919,014,728 : x
  2. Step 2: Convert to fraction form
    22,076,610,845,346/48,307,919,014,728 = 48,307,919,014,728/x
  3. Step 3: Cross multiply
    22,076,610,845,346x = 48,307,919,014,728 × 48,307,919,014,728
  4. Step 4: Simplify right side
    22,076,610,845,346x = 2,333,655,039,533,519,087,970,811,904
  5. Step 5: Solve for x
    x = 2,333,655,039,533,519,087,970,811,904/22,076,610,845,346
  6. Step 6: Final answer
    x = 105,707,123,973,038.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.