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Finding the Third Proportional to 596,316,810 and 1,275,538,398

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Solution

The third proportional to 596,316,810 and 1,275,538,398 is: 2,728,412,443.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,316,810 : 1,275,538,398 = 1,275,538,398 : x
  2. Step 2: Convert to fraction form
    596,316,810/1,275,538,398 = 1,275,538,398/x
  3. Step 3: Cross multiply
    596,316,810x = 1,275,538,398 × 1,275,538,398
  4. Step 4: Simplify right side
    596,316,810x = 1,626,998,204,772,406,528
  5. Step 5: Solve for x
    x = 1,626,998,204,772,406,528/596,316,810
  6. Step 6: Final answer
    x = 2,728,412,443.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.