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Finding the Third Proportional to 416,849,004 and 613,148,778

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Solution

The third proportional to 416,849,004 and 613,148,778 is: 901,888,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,849,004 : 613,148,778 = 613,148,778 : x
  2. Step 2: Convert to fraction form
    416,849,004/613,148,778 = 613,148,778/x
  3. Step 3: Cross multiply
    416,849,004x = 613,148,778 × 613,148,778
  4. Step 4: Simplify right side
    416,849,004x = 375,951,423,962,893,312
  5. Step 5: Solve for x
    x = 375,951,423,962,893,312/416,849,004
  6. Step 6: Final answer
    x = 901,888,742.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.