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Finding the Third Proportional to 3,201,513,336 and 6,937,370,712

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Solution

The third proportional to 3,201,513,336 and 6,937,370,712 is: 15,032,613,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201,513,336 : 6,937,370,712 = 6,937,370,712 : x
  2. Step 2: Convert to fraction form
    3,201,513,336/6,937,370,712 = 6,937,370,712/x
  3. Step 3: Cross multiply
    3,201,513,336x = 6,937,370,712 × 6,937,370,712
  4. Step 4: Simplify right side
    3,201,513,336x = 48,127,112,395,715,387,392
  5. Step 5: Solve for x
    x = 48,127,112,395,715,387,392/3,201,513,336
  6. Step 6: Final answer
    x = 15,032,613,437.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.