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Finding the Third Proportional to 431,796,683 and 615,397,372

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Solution

The third proportional to 431,796,683 and 615,397,372 is: 877,065,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,796,683 : 615,397,372 = 615,397,372 : x
  2. Step 2: Convert to fraction form
    431,796,683/615,397,372 = 615,397,372/x
  3. Step 3: Cross multiply
    431,796,683x = 615,397,372 × 615,397,372
  4. Step 4: Simplify right side
    431,796,683x = 378,713,925,464,506,368
  5. Step 5: Solve for x
    x = 378,713,925,464,506,368/431,796,683
  6. Step 6: Final answer
    x = 877,065,388.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.