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Finding the Third Proportional to 60,389,879,840 and 90,061,125,648

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Solution

The third proportional to 60,389,879,840 and 90,061,125,648 is: 134,310,688,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,389,879,840 : 90,061,125,648 = 90,061,125,648 : x
  2. Step 2: Convert to fraction form
    60,389,879,840/90,061,125,648 = 90,061,125,648/x
  3. Step 3: Cross multiply
    60,389,879,840x = 90,061,125,648 × 90,061,125,648
  4. Step 4: Simplify right side
    60,389,879,840x = 8,111,006,352,984,842,960,896
  5. Step 5: Solve for x
    x = 8,111,006,352,984,842,960,896/60,389,879,840
  6. Step 6: Final answer
    x = 134,310,688,719.28

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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.