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Finding the Third Proportional to 520,013,637,292 and 1,054,648,875,698

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Solution

The third proportional to 520,013,637,292 and 1,054,648,875,698 is: 2,138,952,079,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,013,637,292 : 1,054,648,875,698 = 1,054,648,875,698 : x
  2. Step 2: Convert to fraction form
    520,013,637,292/1,054,648,875,698 = 1,054,648,875,698/x
  3. Step 3: Cross multiply
    520,013,637,292x = 1,054,648,875,698 × 1,054,648,875,698
  4. Step 4: Simplify right side
    520,013,637,292x = 1,112,284,251,011,055,504,850,944
  5. Step 5: Solve for x
    x = 1,112,284,251,011,055,504,850,944/520,013,637,292
  6. Step 6: Final answer
    x = 2,138,952,079,801.86

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.