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Finding the Third Proportional to 1,051,730,506 and 2,249,351,291

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Solution

The third proportional to 1,051,730,506 and 2,249,351,291 is: 4,810,720,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,730,506 : 2,249,351,291 = 2,249,351,291 : x
  2. Step 2: Convert to fraction form
    1,051,730,506/2,249,351,291 = 2,249,351,291/x
  3. Step 3: Cross multiply
    1,051,730,506x = 2,249,351,291 × 2,249,351,291
  4. Step 4: Simplify right side
    1,051,730,506x = 5,059,581,230,323,366,912
  5. Step 5: Solve for x
    x = 5,059,581,230,323,366,912/1,051,730,506
  6. Step 6: Final answer
    x = 4,810,720,238.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.