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Finding the Third Proportional to 76,430,941,681 and 113,983,612,160

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Solution

The third proportional to 76,430,941,681 and 113,983,612,160 is: 169,986,965,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,430,941,681 : 113,983,612,160 = 113,983,612,160 : x
  2. Step 2: Convert to fraction form
    76,430,941,681/113,983,612,160 = 113,983,612,160/x
  3. Step 3: Cross multiply
    76,430,941,681x = 113,983,612,160 × 113,983,612,160
  4. Step 4: Simplify right side
    76,430,941,681x = 12,992,263,841,041,300,324,352
  5. Step 5: Solve for x
    x = 12,992,263,841,041,300,324,352/76,430,941,681
  6. Step 6: Final answer
    x = 169,986,965,426.48

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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.