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Finding the Third Proportional to 23,875,570.13 and 51,155,069.06

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Solution

The third proportional to 23,875,570.13 and 51,155,069.06 is: 109,603,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875,570.13 : 51,155,069.06 = 51,155,069.06 : x
  2. Step 2: Convert to fraction form
    23,875,570.13/51,155,069.06 = 51,155,069.06/x
  3. Step 3: Cross multiply
    23,875,570.13x = 51,155,069.06 × 51,155,069.06
  4. Step 4: Simplify right side
    23,875,570.13x = 2,616,841,090,789,144.50
  5. Step 5: Solve for x
    x = 2,616,841,090,789,144.50/23,875,570.13
  6. Step 6: Final answer
    x = 109,603,292.28

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