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Finding the Third Proportional to 30,537,276 and 63,200,317.50

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Solution

The third proportional to 30,537,276 and 63,200,317.50 is: 130,800,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,537,276 : 63,200,317.50 = 63,200,317.50 : x
  2. Step 2: Convert to fraction form
    30,537,276/63,200,317.50 = 63,200,317.50/x
  3. Step 3: Cross multiply
    30,537,276x = 63,200,317.50 × 63,200,317.50
  4. Step 4: Simplify right side
    30,537,276x = 3,994,280,132,100,806
  5. Step 5: Solve for x
    x = 3,994,280,132,100,806/30,537,276
  6. Step 6: Final answer
    x = 130,800,145.11

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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.