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Finding the Third Proportional to 32,688,328.99 and 71,122,448.04

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Solution

The third proportional to 32,688,328.99 and 71,122,448.04 is: 154,746,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,688,328.99 : 71,122,448.04 = 71,122,448.04 : x
  2. Step 2: Convert to fraction form
    32,688,328.99/71,122,448.04 = 71,122,448.04/x
  3. Step 3: Cross multiply
    32,688,328.99x = 71,122,448.04 × 71,122,448.04
  4. Step 4: Simplify right side
    32,688,328.99x = 5,058,402,615,069,073
  5. Step 5: Solve for x
    x = 5,058,402,615,069,073/32,688,328.99
  6. Step 6: Final answer
    x = 154,746,442.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.