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Finding the Third Proportional to 46,275,808,277 and 65,166,535,365

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Solution

The third proportional to 46,275,808,277 and 65,166,535,365 is: 91,768,841,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,275,808,277 : 65,166,535,365 = 65,166,535,365 : x
  2. Step 2: Convert to fraction form
    46,275,808,277/65,166,535,365 = 65,166,535,365/x
  3. Step 3: Cross multiply
    46,275,808,277x = 65,166,535,365 × 65,166,535,365
  4. Step 4: Simplify right side
    46,275,808,277x = 4,246,677,331,477,795,438,592
  5. Step 5: Solve for x
    x = 4,246,677,331,477,795,438,592/46,275,808,277
  6. Step 6: Final answer
    x = 91,768,841,854.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.