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Finding the Third Proportional to 7,377,506,730 and 15,809,392,404

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Solution

The third proportional to 7,377,506,730 and 15,809,392,404 is: 33,878,232,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377,506,730 : 15,809,392,404 = 15,809,392,404 : x
  2. Step 2: Convert to fraction form
    7,377,506,730/15,809,392,404 = 15,809,392,404/x
  3. Step 3: Cross multiply
    7,377,506,730x = 15,809,392,404 × 15,809,392,404
  4. Step 4: Simplify right side
    7,377,506,730x = 249,936,888,183,652,909,056
  5. Step 5: Solve for x
    x = 249,936,888,183,652,909,056/7,377,506,730
  6. Step 6: Final answer
    x = 33,878,232,488.40

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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.