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Finding the Third Proportional to 35,816,544,639 and 76,664,462,659

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Solution

The third proportional to 35,816,544,639 and 76,664,462,659 is: 164,098,460,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,816,544,639 : 76,664,462,659 = 76,664,462,659 : x
  2. Step 2: Convert to fraction form
    35,816,544,639/76,664,462,659 = 76,664,462,659/x
  3. Step 3: Cross multiply
    35,816,544,639x = 76,664,462,659 × 76,664,462,659
  4. Step 4: Simplify right side
    35,816,544,639x = 5,877,439,834,793,205,301,248
  5. Step 5: Solve for x
    x = 5,877,439,834,793,205,301,248/35,816,544,639
  6. Step 6: Final answer
    x = 164,098,460,474.98

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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.