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Finding the Third Proportional to 1,742,087,810 and 2,663,122,946

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Solution

The third proportional to 1,742,087,810 and 2,663,122,946 is: 4,071,105,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,087,810 : 2,663,122,946 = 2,663,122,946 : x
  2. Step 2: Convert to fraction form
    1,742,087,810/2,663,122,946 = 2,663,122,946/x
  3. Step 3: Cross multiply
    1,742,087,810x = 2,663,122,946 × 2,663,122,946
  4. Step 4: Simplify right side
    1,742,087,810x = 7,092,223,825,511,718,912
  5. Step 5: Solve for x
    x = 7,092,223,825,511,718,912/1,742,087,810
  6. Step 6: Final answer
    x = 4,071,105,821.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.