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Finding the Third Proportional to 8,559,895,408 and 17,360,475,584

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Solution

The third proportional to 8,559,895,408 and 17,360,475,584 is: 35,209,088,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559,895,408 : 17,360,475,584 = 17,360,475,584 : x
  2. Step 2: Convert to fraction form
    8,559,895,408/17,360,475,584 = 17,360,475,584/x
  3. Step 3: Cross multiply
    8,559,895,408x = 17,360,475,584 × 17,360,475,584
  4. Step 4: Simplify right side
    8,559,895,408x = 301,386,112,502,660,136,960
  5. Step 5: Solve for x
    x = 301,386,112,502,660,136,960/8,559,895,408
  6. Step 6: Final answer
    x = 35,209,088,211.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.