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Finding the Third Proportional to 48,507,065,114 and 105,555,623,472

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Solution

The third proportional to 48,507,065,114 and 105,555,623,472 is: 229,698,284,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,507,065,114 : 105,555,623,472 = 105,555,623,472 : x
  2. Step 2: Convert to fraction form
    48,507,065,114/105,555,623,472 = 105,555,623,472/x
  3. Step 3: Cross multiply
    48,507,065,114x = 105,555,623,472 × 105,555,623,472
  4. Step 4: Simplify right side
    48,507,065,114x = 11,141,989,646,562,637,119,488
  5. Step 5: Solve for x
    x = 11,141,989,646,562,637,119,488/48,507,065,114
  6. Step 6: Final answer
    x = 229,698,284,577.25

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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.