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Finding the Third Proportional to 6,908,000,358 and 10,611,533,514

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Solution

The third proportional to 6,908,000,358 and 10,611,533,514 is: 16,300,613,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908,000,358 : 10,611,533,514 = 10,611,533,514 : x
  2. Step 2: Convert to fraction form
    6,908,000,358/10,611,533,514 = 10,611,533,514/x
  3. Step 3: Cross multiply
    6,908,000,358x = 10,611,533,514 × 10,611,533,514
  4. Step 4: Simplify right side
    6,908,000,358x = 112,604,643,518,745,182,208
  5. Step 5: Solve for x
    x = 112,604,643,518,745,182,208/6,908,000,358
  6. Step 6: Final answer
    x = 16,300,613,445.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.