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Finding the Third Proportional to 56,665,704,618 and 84,686,241,663

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Solution

The third proportional to 56,665,704,618 and 84,686,241,663 is: 126,562,610,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,665,704,618 : 84,686,241,663 = 84,686,241,663 : x
  2. Step 2: Convert to fraction form
    56,665,704,618/84,686,241,663 = 84,686,241,663/x
  3. Step 3: Cross multiply
    56,665,704,618x = 84,686,241,663 × 84,686,241,663
  4. Step 4: Simplify right side
    56,665,704,618x = 7,171,759,527,004,037,185,536
  5. Step 5: Solve for x
    x = 7,171,759,527,004,037,185,536/56,665,704,618
  6. Step 6: Final answer
    x = 126,562,610,936.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.