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Finding the Third Proportional to 1,607,528,972 and 3,461,373,466

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Solution

The third proportional to 1,607,528,972 and 3,461,373,466 is: 7,453,119,962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,528,972 : 3,461,373,466 = 3,461,373,466 : x
  2. Step 2: Convert to fraction form
    1,607,528,972/3,461,373,466 = 3,461,373,466/x
  3. Step 3: Cross multiply
    1,607,528,972x = 3,461,373,466 × 3,461,373,466
  4. Step 4: Simplify right side
    1,607,528,972x = 11,981,106,271,128,852,480
  5. Step 5: Solve for x
    x = 11,981,106,271,128,852,480/1,607,528,972
  6. Step 6: Final answer
    x = 7,453,119,962.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.