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Finding the Third Proportional to 32,507,412.50 and 47,683,458.50

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Solution

The third proportional to 32,507,412.50 and 47,683,458.50 is: 69,944,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507,412.50 : 47,683,458.50 = 47,683,458.50 : x
  2. Step 2: Convert to fraction form
    32,507,412.50/47,683,458.50 = 47,683,458.50/x
  3. Step 3: Cross multiply
    32,507,412.50x = 47,683,458.50 × 47,683,458.50
  4. Step 4: Simplify right side
    32,507,412.50x = 2,273,712,214,521,222
  5. Step 5: Solve for x
    x = 2,273,712,214,521,222/32,507,412.50
  6. Step 6: Final answer
    x = 69,944,423.12

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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.