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Finding the Third Proportional to 1,230,963,968 and 1,917,031,808

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Solution

The third proportional to 1,230,963,968 and 1,917,031,808 is: 2,985,474,025.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,963,968 : 1,917,031,808 = 1,917,031,808 : x
  2. Step 2: Convert to fraction form
    1,230,963,968/1,917,031,808 = 1,917,031,808/x
  3. Step 3: Cross multiply
    1,230,963,968x = 1,917,031,808 × 1,917,031,808
  4. Step 4: Simplify right side
    1,230,963,968x = 3,675,010,952,883,748,864
  5. Step 5: Solve for x
    x = 3,675,010,952,883,748,864/1,230,963,968
  6. Step 6: Final answer
    x = 2,985,474,025.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.