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Finding the Third Proportional to 597,221,885.63 and 927,276,428.25

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Solution

The third proportional to 597,221,885.63 and 927,276,428.25 is: 1,439,735,540.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,221,885.63 : 927,276,428.25 = 927,276,428.25 : x
  2. Step 2: Convert to fraction form
    597,221,885.63/927,276,428.25 = 927,276,428.25/x
  3. Step 3: Cross multiply
    597,221,885.63x = 927,276,428.25 × 927,276,428.25
  4. Step 4: Simplify right side
    597,221,885.63x = 859,841,574,388,077,440
  5. Step 5: Solve for x
    x = 859,841,574,388,077,440/597,221,885.63
  6. Step 6: Final answer
    x = 1,439,735,540.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.