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Finding the Third Proportional to 3,056,605,638 and 6,549,125,574

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Solution

The third proportional to 3,056,605,638 and 6,549,125,574 is: 14,032,247,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056,605,638 : 6,549,125,574 = 6,549,125,574 : x
  2. Step 2: Convert to fraction form
    3,056,605,638/6,549,125,574 = 6,549,125,574/x
  3. Step 3: Cross multiply
    3,056,605,638x = 6,549,125,574 × 6,549,125,574
  4. Step 4: Simplify right side
    3,056,605,638x = 42,891,045,784,020,828,160
  5. Step 5: Solve for x
    x = 42,891,045,784,020,828,160/3,056,605,638
  6. Step 6: Final answer
    x = 14,032,247,160.31

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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.