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Finding the Third Proportional to 12,742,354,666 and 17,717,225,641

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Solution

The third proportional to 12,742,354,666 and 17,717,225,641 is: 24,634,386,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742,354,666 : 17,717,225,641 = 17,717,225,641 : x
  2. Step 2: Convert to fraction form
    12,742,354,666/17,717,225,641 = 17,717,225,641/x
  3. Step 3: Cross multiply
    12,742,354,666x = 17,717,225,641 × 17,717,225,641
  4. Step 4: Simplify right side
    12,742,354,666x = 313,900,084,414,107,877,376
  5. Step 5: Solve for x
    x = 313,900,084,414,107,877,376/12,742,354,666
  6. Step 6: Final answer
    x = 24,634,386,080.28

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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.