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Finding the Third Proportional to 35,536,428 and 53,742,042

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Solution

The third proportional to 35,536,428 and 53,742,042 is: 81,274,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,536,428 : 53,742,042 = 53,742,042 : x
  2. Step 2: Convert to fraction form
    35,536,428/53,742,042 = 53,742,042/x
  3. Step 3: Cross multiply
    35,536,428x = 53,742,042 × 53,742,042
  4. Step 4: Simplify right side
    35,536,428x = 2,888,207,078,329,764
  5. Step 5: Solve for x
    x = 2,888,207,078,329,764/35,536,428
  6. Step 6: Final answer
    x = 81,274,546.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.