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Finding the Third Proportional to 13,841,768 and 30,289,043

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Solution

The third proportional to 13,841,768 and 30,289,043 is: 66,279,547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841,768 : 30,289,043 = 30,289,043 : x
  2. Step 2: Convert to fraction form
    13,841,768/30,289,043 = 30,289,043/x
  3. Step 3: Cross multiply
    13,841,768x = 30,289,043 × 30,289,043
  4. Step 4: Simplify right side
    13,841,768x = 917,426,125,855,849
  5. Step 5: Solve for x
    x = 917,426,125,855,849/13,841,768
  6. Step 6: Final answer
    x = 66,279,547.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.