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Finding the Third Proportional to 28,275,828,120 and 42,168,537,508

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Solution

The third proportional to 28,275,828,120 and 42,168,537,508 is: 62,887,125,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,275,828,120 : 42,168,537,508 = 42,168,537,508 : x
  2. Step 2: Convert to fraction form
    28,275,828,120/42,168,537,508 = 42,168,537,508/x
  3. Step 3: Cross multiply
    28,275,828,120x = 42,168,537,508 × 42,168,537,508
  4. Step 4: Simplify right side
    28,275,828,120x = 1,778,185,555,563,602,771,968
  5. Step 5: Solve for x
    x = 1,778,185,555,563,602,771,968/28,275,828,120
  6. Step 6: Final answer
    x = 62,887,125,640.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.