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Finding the Third Proportional to 55,721,050 and 84,423,022.50

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Solution

The third proportional to 55,721,050 and 84,423,022.50 is: 127,909,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,721,050 : 84,423,022.50 = 84,423,022.50 : x
  2. Step 2: Convert to fraction form
    55,721,050/84,423,022.50 = 84,423,022.50/x
  3. Step 3: Cross multiply
    55,721,050x = 84,423,022.50 × 84,423,022.50
  4. Step 4: Simplify right side
    55,721,050x = 7,127,246,728,035,506
  5. Step 5: Solve for x
    x = 7,127,246,728,035,506/55,721,050
  6. Step 6: Final answer
    x = 127,909,411.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.