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Finding the Third Proportional to 3,239,493,998 and 4,838,012,841

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Solution

The third proportional to 3,239,493,998 and 4,838,012,841 is: 7,225,316,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239,493,998 : 4,838,012,841 = 4,838,012,841 : x
  2. Step 2: Convert to fraction form
    3,239,493,998/4,838,012,841 = 4,838,012,841/x
  3. Step 3: Cross multiply
    3,239,493,998x = 4,838,012,841 × 4,838,012,841
  4. Step 4: Simplify right side
    3,239,493,998x = 23,406,368,249,680,891,904
  5. Step 5: Solve for x
    x = 23,406,368,249,680,891,904/3,239,493,998
  6. Step 6: Final answer
    x = 7,225,316,133.98

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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.