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Finding the Third Proportional to 6,782,076,584 and 9,160,306,346

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Solution

The third proportional to 6,782,076,584 and 9,160,306,346 is: 12,372,495,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782,076,584 : 9,160,306,346 = 9,160,306,346 : x
  2. Step 2: Convert to fraction form
    6,782,076,584/9,160,306,346 = 9,160,306,346/x
  3. Step 3: Cross multiply
    6,782,076,584x = 9,160,306,346 × 9,160,306,346
  4. Step 4: Simplify right side
    6,782,076,584x = 83,911,212,352,567,869,440
  5. Step 5: Solve for x
    x = 83,911,212,352,567,869,440/6,782,076,584
  6. Step 6: Final answer
    x = 12,372,495,549.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.