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Finding the Third Proportional to 2,348,218,854 and 5,032,578,143.25

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Solution

The third proportional to 2,348,218,854 and 5,032,578,143.25 is: 10,785,554,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,348,218,854 : 5,032,578,143.25 = 5,032,578,143.25 : x
  2. Step 2: Convert to fraction form
    2,348,218,854/5,032,578,143.25 = 5,032,578,143.25/x
  3. Step 3: Cross multiply
    2,348,218,854x = 5,032,578,143.25 × 5,032,578,143.25
  4. Step 4: Simplify right side
    2,348,218,854x = 25,326,842,767,917,617,152
  5. Step 5: Solve for x
    x = 25,326,842,767,917,617,152/2,348,218,854
  6. Step 6: Final answer
    x = 10,785,554,644.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.