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Finding the Third Proportional to 14,029,802.25 and 30,148,153.50

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Solution

The third proportional to 14,029,802.25 and 30,148,153.50 is: 64,784,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029,802.25 : 30,148,153.50 = 30,148,153.50 : x
  2. Step 2: Convert to fraction form
    14,029,802.25/30,148,153.50 = 30,148,153.50/x
  3. Step 3: Cross multiply
    14,029,802.25x = 30,148,153.50 × 30,148,153.50
  4. Step 4: Simplify right side
    14,029,802.25x = 908,911,159,459,562.25
  5. Step 5: Solve for x
    x = 908,911,159,459,562.25/14,029,802.25
  6. Step 6: Final answer
    x = 64,784,317.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.