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Finding the Third Proportional to 1,026,001,764 and 2,152,780,488

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Solution

The third proportional to 1,026,001,764 and 2,152,780,488 is: 4,517,013,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,001,764 : 2,152,780,488 = 2,152,780,488 : x
  2. Step 2: Convert to fraction form
    1,026,001,764/2,152,780,488 = 2,152,780,488/x
  3. Step 3: Cross multiply
    1,026,001,764x = 2,152,780,488 × 2,152,780,488
  4. Step 4: Simplify right side
    1,026,001,764x = 4,634,463,829,513,518,080
  5. Step 5: Solve for x
    x = 4,634,463,829,513,518,080/1,026,001,764
  6. Step 6: Final answer
    x = 4,517,013,510.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.