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Finding the Third Proportional to 45,656,047 and 97,776,596

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Solution

The third proportional to 45,656,047 and 97,776,596 is: 209,397,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,656,047 : 97,776,596 = 97,776,596 : x
  2. Step 2: Convert to fraction form
    45,656,047/97,776,596 = 97,776,596/x
  3. Step 3: Cross multiply
    45,656,047x = 97,776,596 × 97,776,596
  4. Step 4: Simplify right side
    45,656,047x = 9,560,262,725,347,216
  5. Step 5: Solve for x
    x = 9,560,262,725,347,216/45,656,047
  6. Step 6: Final answer
    x = 209,397,513.66

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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.