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Finding the Third Proportional to 12,742,354,674 and 17,717,225,652

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Solution

The third proportional to 12,742,354,674 and 17,717,225,652 is: 24,634,386,095.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,354,674 : 17,717,225,652 = 17,717,225,652 : x
  2. Step 2: Convert to fraction form
    12,742,354,674/17,717,225,652 = 17,717,225,652/x
  3. Step 3: Cross multiply
    12,742,354,674x = 17,717,225,652 × 17,717,225,652
  4. Step 4: Simplify right side
    12,742,354,674x = 313,900,084,803,886,841,856
  5. Step 5: Solve for x
    x = 313,900,084,803,886,841,856/12,742,354,674
  6. Step 6: Final answer
    x = 24,634,386,095.40

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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.