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Finding the Third Proportional to 31,496,175 and 65,506,510.50

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Solution

The third proportional to 31,496,175 and 65,506,510.50 is: 136,242,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496,175 : 65,506,510.50 = 65,506,510.50 : x
  2. Step 2: Convert to fraction form
    31,496,175/65,506,510.50 = 65,506,510.50/x
  3. Step 3: Cross multiply
    31,496,175x = 65,506,510.50 × 65,506,510.50
  4. Step 4: Simplify right side
    31,496,175x = 4,291,102,917,886,610
  5. Step 5: Solve for x
    x = 4,291,102,917,886,610/31,496,175
  6. Step 6: Final answer
    x = 136,242,033.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.