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Finding the Third Proportional to 19,835,740.69 and 46,672,294.50

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Solution

The third proportional to 19,835,740.69 and 46,672,294.50 is: 109,817,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835,740.69 : 46,672,294.50 = 46,672,294.50 : x
  2. Step 2: Convert to fraction form
    19,835,740.69/46,672,294.50 = 46,672,294.50/x
  3. Step 3: Cross multiply
    19,835,740.69x = 46,672,294.50 × 46,672,294.50
  4. Step 4: Simplify right side
    19,835,740.69x = 2,178,303,073,894,730.25
  5. Step 5: Solve for x
    x = 2,178,303,073,894,730.25/19,835,740.69
  6. Step 6: Final answer
    x = 109,817,077.58

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.