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Finding the Third Proportional to 14,358,399 and 30,735,070.50

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Solution

The third proportional to 14,358,399 and 30,735,070.50 is: 65,790,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,358,399 : 30,735,070.50 = 30,735,070.50 : x
  2. Step 2: Convert to fraction form
    14,358,399/30,735,070.50 = 30,735,070.50/x
  3. Step 3: Cross multiply
    14,358,399x = 30,735,070.50 × 30,735,070.50
  4. Step 4: Simplify right side
    14,358,399x = 944,644,558,639,970.25
  5. Step 5: Solve for x
    x = 944,644,558,639,970.25/14,358,399
  6. Step 6: Final answer
    x = 65,790,382.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.