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Finding the Third Proportional to 472,356,513 and 1,030,673,070

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Solution

The third proportional to 472,356,513 and 1,030,673,070 is: 2,248,909,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,356,513 : 1,030,673,070 = 1,030,673,070 : x
  2. Step 2: Convert to fraction form
    472,356,513/1,030,673,070 = 1,030,673,070/x
  3. Step 3: Cross multiply
    472,356,513x = 1,030,673,070 × 1,030,673,070
  4. Step 4: Simplify right side
    472,356,513x = 1,062,286,977,223,224,960
  5. Step 5: Solve for x
    x = 1,062,286,977,223,224,960/472,356,513
  6. Step 6: Final answer
    x = 2,248,909,347.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.