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Finding the Third Proportional to 54,578,430 and 119,411,784

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Solution

The third proportional to 54,578,430 and 119,411,784 is: 261,260,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578,430 : 119,411,784 = 119,411,784 : x
  2. Step 2: Convert to fraction form
    54,578,430/119,411,784 = 119,411,784/x
  3. Step 3: Cross multiply
    54,578,430x = 119,411,784 × 119,411,784
  4. Step 4: Simplify right side
    54,578,430x = 14,259,174,158,062,656
  5. Step 5: Solve for x
    x = 14,259,174,158,062,656/54,578,430
  6. Step 6: Final answer
    x = 261,260,248.01

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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.