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Finding the Third Proportional to 1,047,490,488 and 1,575,609,003

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Solution

The third proportional to 1,047,490,488 and 1,575,609,003 is: 2,369,991,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,490,488 : 1,575,609,003 = 1,575,609,003 : x
  2. Step 2: Convert to fraction form
    1,047,490,488/1,575,609,003 = 1,575,609,003/x
  3. Step 3: Cross multiply
    1,047,490,488x = 1,575,609,003 × 1,575,609,003
  4. Step 4: Simplify right side
    1,047,490,488x = 2,482,543,730,334,653,952
  5. Step 5: Solve for x
    x = 2,482,543,730,334,653,952/1,047,490,488
  6. Step 6: Final answer
    x = 2,369,991,669.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.