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Finding the Third Proportional to 32,006,550 and 45,736,617

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Solution

The third proportional to 32,006,550 and 45,736,617 is: 65,356,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,006,550 : 45,736,617 = 45,736,617 : x
  2. Step 2: Convert to fraction form
    32,006,550/45,736,617 = 45,736,617/x
  3. Step 3: Cross multiply
    32,006,550x = 45,736,617 × 45,736,617
  4. Step 4: Simplify right side
    32,006,550x = 2,091,838,134,604,689
  5. Step 5: Solve for x
    x = 2,091,838,134,604,689/32,006,550
  6. Step 6: Final answer
    x = 65,356,564.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.