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Finding the Third Proportional to 12,742,354,643.50 and 17,717,225,615

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Solution

The third proportional to 12,742,354,643.50 and 17,717,225,615 is: 24,634,386,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,354,643.50 : 17,717,225,615 = 17,717,225,615 : x
  2. Step 2: Convert to fraction form
    12,742,354,643.50/17,717,225,615 = 17,717,225,615/x
  3. Step 3: Cross multiply
    12,742,354,643.50x = 17,717,225,615 × 17,717,225,615
  4. Step 4: Simplify right side
    12,742,354,643.50x = 313,900,083,492,812,095,488
  5. Step 5: Solve for x
    x = 313,900,083,492,812,095,488/12,742,354,643.50
  6. Step 6: Final answer
    x = 24,634,386,051.48

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1.5x scale

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.