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Finding the Third Proportional to 301,873,810 and 652,216,612

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Solution

The third proportional to 301,873,810 and 652,216,612 is: 1,409,153,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,873,810 : 652,216,612 = 652,216,612 : x
  2. Step 2: Convert to fraction form
    301,873,810/652,216,612 = 652,216,612/x
  3. Step 3: Cross multiply
    301,873,810x = 652,216,612 × 652,216,612
  4. Step 4: Simplify right side
    301,873,810x = 425,386,508,968,758,528
  5. Step 5: Solve for x
    x = 425,386,508,968,758,528/301,873,810
  6. Step 6: Final answer
    x = 1,409,153,410.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.