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Finding the Third Proportional to 849,774,352 and 1,828,688,907

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Solution

The third proportional to 849,774,352 and 1,828,688,907 is: 3,935,283,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,774,352 : 1,828,688,907 = 1,828,688,907 : x
  2. Step 2: Convert to fraction form
    849,774,352/1,828,688,907 = 1,828,688,907/x
  3. Step 3: Cross multiply
    849,774,352x = 1,828,688,907 × 1,828,688,907
  4. Step 4: Simplify right side
    849,774,352x = 3,344,103,118,584,854,528
  5. Step 5: Solve for x
    x = 3,344,103,118,584,854,528/849,774,352
  6. Step 6: Final answer
    x = 3,935,283,655.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.