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Finding the Third Proportional to 2,949,559,196 and 6,319,832,310

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Solution

The third proportional to 2,949,559,196 and 6,319,832,310 is: 13,541,101,490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,559,196 : 6,319,832,310 = 6,319,832,310 : x
  2. Step 2: Convert to fraction form
    2,949,559,196/6,319,832,310 = 6,319,832,310/x
  3. Step 3: Cross multiply
    2,949,559,196x = 6,319,832,310 × 6,319,832,310
  4. Step 4: Simplify right side
    2,949,559,196x = 39,940,280,426,519,937,024
  5. Step 5: Solve for x
    x = 39,940,280,426,519,937,024/2,949,559,196
  6. Step 6: Final answer
    x = 13,541,101,490.92

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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.