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Finding the Third Proportional to 10,263,907.69 and 14,349,547.13

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Solution

The third proportional to 10,263,907.69 and 14,349,547.13 is: 20,061,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263,907.69 : 14,349,547.13 = 14,349,547.13 : x
  2. Step 2: Convert to fraction form
    10,263,907.69/14,349,547.13 = 14,349,547.13/x
  3. Step 3: Cross multiply
    10,263,907.69x = 14,349,547.13 × 14,349,547.13
  4. Step 4: Simplify right side
    10,263,907.69x = 205,909,502,692,595.75
  5. Step 5: Solve for x
    x = 205,909,502,692,595.75/10,263,907.69
  6. Step 6: Final answer
    x = 20,061,511.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.