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Finding the Third Proportional to 12,742,354,656 and 17,717,225,628

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Solution

The third proportional to 12,742,354,656 and 17,717,225,628 is: 24,634,386,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,354,656 : 17,717,225,628 = 17,717,225,628 : x
  2. Step 2: Convert to fraction form
    12,742,354,656/17,717,225,628 = 17,717,225,628/x
  3. Step 3: Cross multiply
    12,742,354,656x = 17,717,225,628 × 17,717,225,628
  4. Step 4: Simplify right side
    12,742,354,656x = 313,900,083,953,459,986,432
  5. Step 5: Solve for x
    x = 313,900,083,953,459,986,432/12,742,354,656
  6. Step 6: Final answer
    x = 24,634,386,063.46

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.