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Finding the Third Proportional to 353,842,117 and 553,864,046

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Solution

The third proportional to 353,842,117 and 553,864,046 is: 866,955,533.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,842,117 : 553,864,046 = 553,864,046 : x
  2. Step 2: Convert to fraction form
    353,842,117/553,864,046 = 553,864,046/x
  3. Step 3: Cross multiply
    353,842,117x = 553,864,046 × 553,864,046
  4. Step 4: Simplify right side
    353,842,117x = 306,765,381,451,490,112
  5. Step 5: Solve for x
    x = 306,765,381,451,490,112/353,842,117
  6. Step 6: Final answer
    x = 866,955,533.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.