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Finding the Third Proportional to 35,465,051,178 and 77,103,163,548

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Solution

The third proportional to 35,465,051,178 and 77,103,163,548 is: 167,626,935,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,465,051,178 : 77,103,163,548 = 77,103,163,548 : x
  2. Step 2: Convert to fraction form
    35,465,051,178/77,103,163,548 = 77,103,163,548/x
  3. Step 3: Cross multiply
    35,465,051,178x = 77,103,163,548 × 77,103,163,548
  4. Step 4: Simplify right side
    35,465,051,178x = 5,944,897,829,109,636,268,032
  5. Step 5: Solve for x
    x = 5,944,897,829,109,636,268,032/35,465,051,178
  6. Step 6: Final answer
    x = 167,626,935,014.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.