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Finding the Third Proportional to 1,097,316,649.13 and 1,671,700,406.63

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Solution

The third proportional to 1,097,316,649.13 and 1,671,700,406.63 is: 2,546,741,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,316,649.13 : 1,671,700,406.63 = 1,671,700,406.63 : x
  2. Step 2: Convert to fraction form
    1,097,316,649.13/1,671,700,406.63 = 1,671,700,406.63/x
  3. Step 3: Cross multiply
    1,097,316,649.13x = 1,671,700,406.63 × 1,671,700,406.63
  4. Step 4: Simplify right side
    1,097,316,649.13x = 2,794,582,249,510,190,592
  5. Step 5: Solve for x
    x = 2,794,582,249,510,190,592/1,097,316,649.13
  6. Step 6: Final answer
    x = 2,546,741,865.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.