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Finding the Third Proportional to 12,337,726 and 26,734,784

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Solution

The third proportional to 12,337,726 and 26,734,784 is: 57,931,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337,726 : 26,734,784 = 26,734,784 : x
  2. Step 2: Convert to fraction form
    12,337,726/26,734,784 = 26,734,784/x
  3. Step 3: Cross multiply
    12,337,726x = 26,734,784 × 26,734,784
  4. Step 4: Simplify right side
    12,337,726x = 714,748,675,526,656
  5. Step 5: Solve for x
    x = 714,748,675,526,656/12,337,726
  6. Step 6: Final answer
    x = 57,931,962.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.