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Finding the Third Proportional to 10,789,412.63 and 23,117,788.13

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Solution

The third proportional to 10,789,412.63 and 23,117,788.13 is: 49,533,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789,412.63 : 23,117,788.13 = 23,117,788.13 : x
  2. Step 2: Convert to fraction form
    10,789,412.63/23,117,788.13 = 23,117,788.13/x
  3. Step 3: Cross multiply
    10,789,412.63x = 23,117,788.13 × 23,117,788.13
  4. Step 4: Simplify right side
    10,789,412.63x = 534,432,127,792,391
  5. Step 5: Solve for x
    x = 534,432,127,792,391/10,789,412.63
  6. Step 6: Final answer
    x = 49,533,014.11

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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.