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Finding the Third Proportional to 32,518,159.50 and 47,879,020.50

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Solution

The third proportional to 32,518,159.50 and 47,879,020.50 is: 70,496,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,518,159.50 : 47,879,020.50 = 47,879,020.50 : x
  2. Step 2: Convert to fraction form
    32,518,159.50/47,879,020.50 = 47,879,020.50/x
  3. Step 3: Cross multiply
    32,518,159.50x = 47,879,020.50 × 47,879,020.50
  4. Step 4: Simplify right side
    32,518,159.50x = 2,292,400,604,039,420
  5. Step 5: Solve for x
    x = 2,292,400,604,039,420/32,518,159.50
  6. Step 6: Final answer
    x = 70,496,013.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.