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Finding the Third Proportional to 154,335,336,644 and 334,316,429,964

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Solution

The third proportional to 154,335,336,644 and 334,316,429,964 is: 724,185,904,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,335,336,644 : 334,316,429,964 = 334,316,429,964 : x
  2. Step 2: Convert to fraction form
    154,335,336,644/334,316,429,964 = 334,316,429,964/x
  3. Step 3: Cross multiply
    154,335,336,644x = 334,316,429,964 × 334,316,429,964
  4. Step 4: Simplify right side
    154,335,336,644x = 111,767,475,343,874,118,909,952
  5. Step 5: Solve for x
    x = 111,767,475,343,874,118,909,952/154,335,336,644
  6. Step 6: Final answer
    x = 724,185,904,370.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.