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Finding the Third Proportional to 1,495,477,374 and 3,272,395,407

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Solution

The third proportional to 1,495,477,374 and 3,272,395,407 is: 7,160,637,724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495,477,374 : 3,272,395,407 = 3,272,395,407 : x
  2. Step 2: Convert to fraction form
    1,495,477,374/3,272,395,407 = 3,272,395,407/x
  3. Step 3: Cross multiply
    1,495,477,374x = 3,272,395,407 × 3,272,395,407
  4. Step 4: Simplify right side
    1,495,477,374x = 10,708,571,699,754,694,656
  5. Step 5: Solve for x
    x = 10,708,571,699,754,694,656/1,495,477,374
  6. Step 6: Final answer
    x = 7,160,637,724.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.