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Finding the Third Proportional to 7,878,058,083 and 17,013,973,326

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Solution

The third proportional to 7,878,058,083 and 17,013,973,326 is: 36,744,497,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,058,083 : 17,013,973,326 = 17,013,973,326 : x
  2. Step 2: Convert to fraction form
    7,878,058,083/17,013,973,326 = 17,013,973,326/x
  3. Step 3: Cross multiply
    7,878,058,083x = 17,013,973,326 × 17,013,973,326
  4. Step 4: Simplify right side
    7,878,058,083x = 289,475,288,337,839,489,024
  5. Step 5: Solve for x
    x = 289,475,288,337,839,489,024/7,878,058,083
  6. Step 6: Final answer
    x = 36,744,497,855.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.