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Finding the Third Proportional to 30,926,421.84 and 45,378,642.66

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Solution

The third proportional to 30,926,421.84 and 45,378,642.66 is: 66,584,528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926,421.84 : 45,378,642.66 = 45,378,642.66 : x
  2. Step 2: Convert to fraction form
    30,926,421.84/45,378,642.66 = 45,378,642.66/x
  3. Step 3: Cross multiply
    30,926,421.84x = 45,378,642.66 × 45,378,642.66
  4. Step 4: Simplify right side
    30,926,421.84x = 2,059,221,209,323,632
  5. Step 5: Solve for x
    x = 2,059,221,209,323,632/30,926,421.84
  6. Step 6: Final answer
    x = 66,584,528.26

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