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Finding the Third Proportional to 12,464,547 and 19,147,070

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Solution

The third proportional to 12,464,547 and 19,147,070 is: 29,412,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464,547 : 19,147,070 = 19,147,070 : x
  2. Step 2: Convert to fraction form
    12,464,547/19,147,070 = 19,147,070/x
  3. Step 3: Cross multiply
    12,464,547x = 19,147,070 × 19,147,070
  4. Step 4: Simplify right side
    12,464,547x = 366,610,289,584,900
  5. Step 5: Solve for x
    x = 366,610,289,584,900/12,464,547
  6. Step 6: Final answer
    x = 29,412,243.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.