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Finding the Third Proportional to 706,938,164 and 1,487,136,453

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Solution

The third proportional to 706,938,164 and 1,487,136,453 is: 3,128,385,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,938,164 : 1,487,136,453 = 1,487,136,453 : x
  2. Step 2: Convert to fraction form
    706,938,164/1,487,136,453 = 1,487,136,453/x
  3. Step 3: Cross multiply
    706,938,164x = 1,487,136,453 × 1,487,136,453
  4. Step 4: Simplify right side
    706,938,164x = 2,211,574,829,841,421,312
  5. Step 5: Solve for x
    x = 2,211,574,829,841,421,312/706,938,164
  6. Step 6: Final answer
    x = 3,128,385,115.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.