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Finding the Third Proportional to 7,905,798,828 and 10,539,826,362

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Solution

The third proportional to 7,905,798,828 and 10,539,826,362 is: 14,051,450,354.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905,798,828 : 10,539,826,362 = 10,539,826,362 : x
  2. Step 2: Convert to fraction form
    7,905,798,828/10,539,826,362 = 10,539,826,362/x
  3. Step 3: Cross multiply
    7,905,798,828x = 10,539,826,362 × 10,539,826,362
  4. Step 4: Simplify right side
    7,905,798,828x = 111,087,939,741,110,157,312
  5. Step 5: Solve for x
    x = 111,087,939,741,110,157,312/7,905,798,828
  6. Step 6: Final answer
    x = 14,051,450,354.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.