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Finding the Third Proportional to 25,083,776 and 36,657,784

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Solution

The third proportional to 25,083,776 and 36,657,784 is: 53,572,202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083,776 : 36,657,784 = 36,657,784 : x
  2. Step 2: Convert to fraction form
    25,083,776/36,657,784 = 36,657,784/x
  3. Step 3: Cross multiply
    25,083,776x = 36,657,784 × 36,657,784
  4. Step 4: Simplify right side
    25,083,776x = 1,343,793,127,790,656
  5. Step 5: Solve for x
    x = 1,343,793,127,790,656/25,083,776
  6. Step 6: Final answer
    x = 53,572,202.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.