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Finding the Third Proportional to 402,619,028,247 and 625,142,796,662

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Solution

The third proportional to 402,619,028,247 and 625,142,796,662 is: 970,653,369,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,619,028,247 : 625,142,796,662 = 625,142,796,662 : x
  2. Step 2: Convert to fraction form
    402,619,028,247/625,142,796,662 = 625,142,796,662/x
  3. Step 3: Cross multiply
    402,619,028,247x = 625,142,796,662 × 625,142,796,662
  4. Step 4: Simplify right side
    402,619,028,247x = 390,803,516,218,386,696,634,368
  5. Step 5: Solve for x
    x = 390,803,516,218,386,696,634,368/402,619,028,247
  6. Step 6: Final answer
    x = 970,653,369,066.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.