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Finding the Third Proportional to 30,316,743 and 46,599,506

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Solution

The third proportional to 30,316,743 and 46,599,506 is: 71,627,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,316,743 : 46,599,506 = 46,599,506 : x
  2. Step 2: Convert to fraction form
    30,316,743/46,599,506 = 46,599,506/x
  3. Step 3: Cross multiply
    30,316,743x = 46,599,506 × 46,599,506
  4. Step 4: Simplify right side
    30,316,743x = 2,171,513,959,444,036
  5. Step 5: Solve for x
    x = 2,171,513,959,444,036/30,316,743
  6. Step 6: Final answer
    x = 71,627,547.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.