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Finding the Third Proportional to 32,303,829.50 and 70,884,281

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Solution

The third proportional to 32,303,829.50 and 70,884,281 is: 155,541,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,303,829.50 : 70,884,281 = 70,884,281 : x
  2. Step 2: Convert to fraction form
    32,303,829.50/70,884,281 = 70,884,281/x
  3. Step 3: Cross multiply
    32,303,829.50x = 70,884,281 × 70,884,281
  4. Step 4: Simplify right side
    32,303,829.50x = 5,024,581,292,886,961
  5. Step 5: Solve for x
    x = 5,024,581,292,886,961/32,303,829.50
  6. Step 6: Final answer
    x = 155,541,351.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.