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Finding the Third Proportional to 34,217,574.19 and 53,017,011

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Solution

The third proportional to 34,217,574.19 and 53,017,011 is: 82,145,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,217,574.19 : 53,017,011 = 53,017,011 : x
  2. Step 2: Convert to fraction form
    34,217,574.19/53,017,011 = 53,017,011/x
  3. Step 3: Cross multiply
    34,217,574.19x = 53,017,011 × 53,017,011
  4. Step 4: Simplify right side
    34,217,574.19x = 2,810,803,455,374,121
  5. Step 5: Solve for x
    x = 2,810,803,455,374,121/34,217,574.19
  6. Step 6: Final answer
    x = 82,145,024.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.