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Finding the Third Proportional to 33,742,464 and 69,877,704

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Solution

The third proportional to 33,742,464 and 69,877,704 is: 144,710,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742,464 : 69,877,704 = 69,877,704 : x
  2. Step 2: Convert to fraction form
    33,742,464/69,877,704 = 69,877,704/x
  3. Step 3: Cross multiply
    33,742,464x = 69,877,704 × 69,877,704
  4. Step 4: Simplify right side
    33,742,464x = 4,882,893,516,311,616
  5. Step 5: Solve for x
    x = 4,882,893,516,311,616/33,742,464
  6. Step 6: Final answer
    x = 144,710,638.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.