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Finding the Third Proportional to 32,496,160,506 and 70,761,348,308

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Solution

The third proportional to 32,496,160,506 and 70,761,348,308 is: 154,084,923,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496,160,506 : 70,761,348,308 = 70,761,348,308 : x
  2. Step 2: Convert to fraction form
    32,496,160,506/70,761,348,308 = 70,761,348,308/x
  3. Step 3: Cross multiply
    32,496,160,506x = 70,761,348,308 × 70,761,348,308
  4. Step 4: Simplify right side
    32,496,160,506x = 5,007,168,414,366,094,589,952
  5. Step 5: Solve for x
    x = 5,007,168,414,366,094,589,952/32,496,160,506
  6. Step 6: Final answer
    x = 154,084,923,769.43

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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.