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Finding the Third Proportional to 7,387,509,644,450 and 15,886,814,087,574

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Solution

The third proportional to 7,387,509,644,450 and 15,886,814,087,574 is: 34,164,539,066,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387,509,644,450 : 15,886,814,087,574 = 15,886,814,087,574 : x
  2. Step 2: Convert to fraction form
    7,387,509,644,450/15,886,814,087,574 = 15,886,814,087,574/x
  3. Step 3: Cross multiply
    7,387,509,644,450x = 15,886,814,087,574 × 15,886,814,087,574
  4. Step 4: Simplify right side
    7,387,509,644,450x = 252,390,861,853,139,703,869,472,768
  5. Step 5: Solve for x
    x = 252,390,861,853,139,703,869,472,768/7,387,509,644,450
  6. Step 6: Final answer
    x = 34,164,539,066,660.02

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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.