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Finding the Third Proportional to 307,996,642 and 469,752,528

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Solution

The third proportional to 307,996,642 and 469,752,528 is: 716,460,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,996,642 : 469,752,528 = 469,752,528 : x
  2. Step 2: Convert to fraction form
    307,996,642/469,752,528 = 469,752,528/x
  3. Step 3: Cross multiply
    307,996,642x = 469,752,528 × 469,752,528
  4. Step 4: Simplify right side
    307,996,642x = 220,667,437,562,390,784
  5. Step 5: Solve for x
    x = 220,667,437,562,390,784/307,996,642
  6. Step 6: Final answer
    x = 716,460,530.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.