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Finding the Third Proportional to 2,414,889,988,352 and 5,169,014,632,960

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Solution

The third proportional to 2,414,889,988,352 and 5,169,014,632,960 is: 11,064,152,986,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,889,988,352 : 5,169,014,632,960 = 5,169,014,632,960 : x
  2. Step 2: Convert to fraction form
    2,414,889,988,352/5,169,014,632,960 = 5,169,014,632,960/x
  3. Step 3: Cross multiply
    2,414,889,988,352x = 5,169,014,632,960 × 5,169,014,632,960
  4. Step 4: Simplify right side
    2,414,889,988,352x = 26,718,712,275,754,602,968,645,632
  5. Step 5: Solve for x
    x = 26,718,712,275,754,602,968,645,632/2,414,889,988,352
  6. Step 6: Final answer
    x = 11,064,152,986,111.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.