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Finding the Third Proportional to 7,859,584,358 and 17,045,280,142

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Solution

The third proportional to 7,859,584,358 and 17,045,280,142 is: 36,966,531,801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859,584,358 : 17,045,280,142 = 17,045,280,142 : x
  2. Step 2: Convert to fraction form
    7,859,584,358/17,045,280,142 = 17,045,280,142/x
  3. Step 3: Cross multiply
    7,859,584,358x = 17,045,280,142 × 17,045,280,142
  4. Step 4: Simplify right side
    7,859,584,358x = 290,541,575,119,259,533,312
  5. Step 5: Solve for x
    x = 290,541,575,119,259,533,312/7,859,584,358
  6. Step 6: Final answer
    x = 36,966,531,801.84

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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.