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Finding the Third Proportional to 7,387,509,644,454 and 15,886,814,087,582

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Solution

The third proportional to 7,387,509,644,454 and 15,886,814,087,582 is: 34,164,539,066,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387,509,644,454 : 15,886,814,087,582 = 15,886,814,087,582 : x
  2. Step 2: Convert to fraction form
    7,387,509,644,454/15,886,814,087,582 = 15,886,814,087,582/x
  3. Step 3: Cross multiply
    7,387,509,644,454x = 15,886,814,087,582 × 15,886,814,087,582
  4. Step 4: Simplify right side
    7,387,509,644,454x = 252,390,861,853,393,897,213,919,232
  5. Step 5: Solve for x
    x = 252,390,861,853,393,897,213,919,232/7,387,509,644,454
  6. Step 6: Final answer
    x = 34,164,539,066,675.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.