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Finding the Third Proportional to 707,758,042 and 1,551,564,979

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Solution

The third proportional to 707,758,042 and 1,551,564,979 is: 3,401,379,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,758,042 : 1,551,564,979 = 1,551,564,979 : x
  2. Step 2: Convert to fraction form
    707,758,042/1,551,564,979 = 1,551,564,979/x
  3. Step 3: Cross multiply
    707,758,042x = 1,551,564,979 × 1,551,564,979
  4. Step 4: Simplify right side
    707,758,042x = 2,407,353,884,059,270,656
  5. Step 5: Solve for x
    x = 2,407,353,884,059,270,656/707,758,042
  6. Step 6: Final answer
    x = 3,401,379,767.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.